Questions as text
Q1 · When x = 5 find the value of (a) 4x2, Answer(a) [1] (b) (4x)2 0580/11 Oct/Nov 2004
4 When x = 5 find the value of (a) 4x2, Answer(a) [1] (b) (4x)2. Answer(b) [1]
2 marks
Mark scheme: 4 (a) 100 1 (b) 400 1
This question in 0580/11 Oct/Nov 2004
Q2 · = < > Use one of the above symbols to complete each of the statements in the answer spaces 0580/11 Oct/Nov 2004
11 = < > Use one of the above symbols to complete each of the statements in the answer spaces. Answer(a) 23 32 [1] Answer(b) 9 % 0.09 [1]
2 marks
Mark scheme: 11 (a) < 1 (b) = 1
This question in 0580/11 Oct/Nov 2004
Q3 · Work out 4-3 as a fraction 0580/11 May/June 2005
5 Work out 4-3 as a fraction. Answer [2]
2 marks
Mark scheme: 5 1 2 B1 for 1 or 4(1 ) 3 or (±) 64 seen. 64 43 decimal form only B0
This question in 0580/11 May/June 2005
Q4 · When x = –3 find the value of x3+ 2x2 0580/11 May/June 2005
8 When x = –3 find the value of x3+ 2x2. Answer [2]
2 marks
Mark scheme: 8 –9 www 2 B1 for – 27 or (+)18 seen
This question in 0580/11 May/June 2005
Q5 · Work out 433 , giving (a) your full calculator display, Answer(a) [1] (b) your answer… 0580/11 Oct/Nov 2006
9 Work out 433 , giving (a) your full calculator display, Answer(a) [1] (b) your answer correct to the nearest thousand. Answer(b) [1]
2 marks
Mark scheme: 9 (a) 79507 1 (b) 80000 1ft ft provided (a) > 500 and not a multiple of 1000.
This question in 0580/11 Oct/Nov 2006
Q6 · > = < Choose one of the symbols above to complete each of the following statements 0580/11 Oct/Nov 2008
7 > = < Choose one of the symbols above to complete each of the following statements. 5 (a) 74% 7 [1] _3 1 (b) 8 2 [1]
2 marks
Mark scheme: 7 (a) > 1 (b) = 1
This question in 0580/11 Oct/Nov 2008
Q7 · X is an integer between 60 and 90 0580/11 May/June 2009
14 x is an integer between 60 and 90. For Examiner's Write down the value of x when it is Use (a) an odd square number, Answer(a) x = [1] (b) 43, Answer(b) x = [1] (c) a multiple of 29, Answer(c) x = [1] (d) a prime factor of 146. Answer(d) x = [1]
4 marks
Mark scheme: 14 (a) 81 1cao (b) 64 1cao (c) 87 1cao (d) 73 1cao 4 4
This question in 0580/11 May/June 2009
Q8 · Find the value of p when p3 = −27 0580/11 Oct/Nov 2009
14 (a) Find the value of p when p3 = −27. For Examiner's Use Answer(a) p = [1] −1 1 (b) Find the value of q when q = . 6 Answer(b) q = [1] (c) Simplify 8s 2 ÷ 2s −1. Answer(c) [2]
4 marks
Mark scheme: 14 (a) –3 final answer 1 (b) 6 final answer 1 4 (c) 4s3 or − 3 final answer 2 W1 for 4sn (n ≠ 0) or ks3 (k ≠ 0) seen s
This question in 0580/11 Oct/Nov 2009
Q9 · Find the value of p when p3 = −27 0580/12 Oct/Nov 2009
14 (a) Find the value of p when p3 = −27. For Examiner's Use Answer(a) p = [1] −1 1 (b) Find the value of q when q = . 6 Answer(b) q = [1] (c) Simplify 8s 2 ÷ 2s −1. Answer(c) [2]
4 marks
Mark scheme: 14 (a) –3 final answer 1 (b) 6 final answer 1 4 (c) 4s3 or − 3 final answer 2 W1 for 4sn (n ≠ 0) or ks3 (k ≠ 0) seen s 8d
This question in 0580/12 Oct/Nov 2009
Q10 · Write down the value of (a) 10-2, Answer(a) [1] (b) 40, Answer(b) [1] (c) 3 343 0580/11 May/June 2010
12 Write down the value of (a) 10-2, Answer(a) [1] (b) 40, Answer(b) [1] (c) 3 343 . Answer(c) [1]
3 marks
Mark scheme: 1 12 (a) 0.01 or 1 100 (b) 1 1 (c) 7 1 IGCSE – May/June 2010 0580 11
This question in 0580/11 May/June 2010
Q11 · Work out 3 7.2 3 − 100 0580/13 Oct/Nov 2010
7 Work out 3 7.2 3 − 100 . Give your answer correct to 3 decimal places. Answer [2]
2 marks
Mark scheme: 7 6.489 2 B1 for 6.5 or 6.49 or 6.4891….
This question in 0580/13 Oct/Nov 2010
Q12 · Using integers between 10 and 30, write down (a) an odd multiple of 7, Answer(a) [1] (b)… 0580/13 May/June 2011
9 Using integers between 10 and 30, write down (a) an odd multiple of 7, Answer(a) [1] (b) a cube number. Answer(b) [1]
2 marks
Mark scheme: 9 (a) 21 1 (b) 27 1 AC
This question in 0580/13 May/June 2011
Q13 · Find the cube root of 96 0580/12 Oct/Nov 2011
6 Find the cube root of 96. Give your answer correct to 2 decimal places. Answer [2]
2 marks
Mark scheme: 6 4.58 cao 2 B1 for 4.6(0) or 4.57 or 4.579 or 4.578 or 4.5789 or 4.5788… SC1 for 4.583 only 8
This question in 0580/12 Oct/Nov 2011
Q14 · 210 211 212 213 214 215 216 For Examiner's From the list of numbers, find Use (a) a prime… 0580/13 Oct/Nov 2011
8 210 211 212 213 214 215 216 For Examiner's From the list of numbers, find Use (a) a prime number, Answer(a) [1] (b) a cube number. Answer(b) [1]
2 marks
Mark scheme: 8 (a) 211 cao 1 (b) 216 cao 1
This question in 0580/13 Oct/Nov 2011
Q15 · –2 –2 1318 Show that 3 + 2 = 0580/13 Oct/Nov 2011
–2 –2 1318 Show that 3 + 2 = . 36 Write down all the steps of your working. Answer [2]
2 marks
Mark scheme: 1 1 18 , M1 Both fractions seen 9 4 1 1 4 9 13 E1 Both fractions over a common denominator and + = + = 13 9 4 36 36 36 added to give 36
This question in 0580/13 Oct/Nov 2011
Q16 · Write down the next prime number after 47 0580/13 May/June 2012
4 (a) Write down the next prime number after 47. Answer(a) [1] (b) Write down the next square number after 49. Answer(b) [1]
2 marks
Mark scheme: 4 (a) 53 1 (b) 64 1
This question in 0580/13 May/June 2012
Q17 · I K = For Examiner's Choose one of these symbols to make each statement correct 0580/13 May/June 2012
5 I K = For Examiner's Choose one of these symbols to make each statement correct. Use (a) −15 −5 [1] (b) (−5)2 25 [1]
2 marks
Mark scheme: 5 (a) < 1 (b) = 1 750 × 2 × 8 f
This question in 0580/13 May/June 2012
Q18 · Which two of these have the same value? 0580/11 May/June 2013
18 (a) Which two of these have the same value? For Examiner's Use 2 1 2 2 2 5–2 0.22 5 c 2 m c 5 m Answer(a) … and … [2] (b) Simplify. (i) a6 × a3 Answer(b)(i) … [1] (ii) 24b16 ÷ 6b4 Answer(b)(ii) … [2] _____________________________________________________________________________________
5 marks
Mark scheme: 18 (a) 5–2 and 0.22 2 M1 for any two correct decimal values seen with the correct expression e.g. 0.04, 0.4, 0.25, 0.16, 0.04 (b) (i) a9 1 (ii) 4b12 2 B1 for 4bk or B1 for kb12 where k is an integer ( k ≠ 0 )
This question in 0580/11 May/June 2013
Q19 · 100 164 200 343 999 Write down the cube number from this list 0580/12 May/June 2013
2 100 164 200 343 999 Write down the cube number from this list. Answer … [1] _____________________________________________________________________________________
1 marks
Mark scheme: 2 343 1
This question in 0580/12 May/June 2013
Q20 · Find the value of 1.473 0580/13 May/June 2013
2 Find the value of 1.473. Give your answer correct to 3 decimal places. Answer … [2] _____________________________________________________________________________________
2 marks
Mark scheme: 2 3.177 2 B1 for 3.176[5] or 3.17 or 3.18
This question in 0580/13 May/June 2013
Q21 · Find the value of (a) 94, Answer(a) … [1] (b) 60 0580/11 Oct/Nov 2013
11 Find the value of (a) 94, Answer(a) … [1] (b) 60. Answer(b) … [1] _____________________________________________________________________________________
2 marks
Mark scheme: 11 (a) 6561 cao 1 (b) 1 1
This question in 0580/11 Oct/Nov 2013
Q22 · Complete the following statement 0580/12 Oct/Nov 2013
13 (a) Complete the following statement. For Examiner′s Use The two common factors of 15 and 20 are 1 and … . [1] (b) Write down the next square number that is greater than 169. Answer(b) … [1] (c) Write down a prime number between 90 and 100. Answer(c) … [1] _____________________________________________________________________________________
3 marks
Mark scheme: 13 (a) 5 cao 1 (b) 196 cao 1 (c) 97 cao 1
This question in 0580/12 Oct/Nov 2013
Q23 · Find the value of 5x2 when x = –4 0580/11 Oct/Nov 2014
21 (a) Find the value of 5x2 when x = –4. Answer(a) … [2] (b) Make x the subject of the formula y = 5x2. Answer(b) x = … [2] __________________________________________________________________________________________ Question 22 is printed on the next page.
4 marks
Mark scheme: 21 (a) 2 M1 for 5 × (− 4 )2 or 5× 4 2 or better 80 y y (b) [± ] or 2 M1 for correct first step 5 5 y 2 i.e. = x or y = 5 x Final answer 5 or correct 2nd step after incorrect 1st step seen
This question in 0580/11 Oct/Nov 2014
Q24 · Find (a) the cube root of 729, Answer(a) … [1] (b) the two square roots of 225, Answer(b)… 0580/12 Oct/Nov 2014
18 Find (a) the cube root of 729, Answer(a) … [1] (b) the two square roots of 225, Answer(b) … and … [2] (c) a common multiple of 6 and 9, Answer(c) … [1] (d) (–4)2. Answer(d) … [1] __________________________________________________________________________________________
5 marks
Mark scheme: 18 (a) 9 cao 1 (b) 15 and −15 1, 1 (c) Any multiple of 18 1 (d) 16 1
This question in 0580/12 Oct/Nov 2014
Q25 · 6 8 14 36 47 50 130 From the list of numbers, write down one number for each of the… 0580/12 Feb/March 2015
17 6 8 14 36 47 50 130 From the list of numbers, write down one number for each of the following. (a) An odd number. Answer(a) … [1] (b) A square number. Answer(b) … [1] (c) A factor of 70. Answer(c) … [1] (d) A multiple of 26. Answer(d) … [1] __________________________________________________________________________________________
4 marks
Mark scheme: 17 (a) 47 1 (b) 36 1 (c) 14 1 (d) 130 1
This question in 0580/12 Feb/March 2015
Q26 · Write down the prime number between 62 and 70 0580/13 May/June 2015
19 (a) Write down the prime number between 62 and 70. Answer(a) … [1] (b) Write 54 as the product of its prime factors. Answer(b) … [2] (c) Find the highest common factor (HCF) of 54 and 90. Answer(c) … [2] __________________________________________________________________________________________ Question 20 is printed on the next page.
5 marks
Mark scheme: 19 (a) 67 1 (b) 2 × 33 oe 2 B1 for a correct factor tree or 2,3,3,3 identified (c) 18 cao 2 B1 for final answer of 2, 3, 6 or 9
This question in 0580/13 May/June 2015
Question 27 0580/11 Oct/Nov 2015
5 Calculate. (a) 3.2 × (5.7 – 1.3) + 4.8 Answer(a) … [1] (b) 2.54 - 0.85 Answer(b) … [1] __________________________________________________________________________________________
2 marks
Mark scheme: 5 (a) 18.88 cao final answer 1 (b) 1.3 1 13 12
This question in 0580/11 Oct/Nov 2015
Question 28 0580/12 Oct/Nov 2015
11 (a) Solve. 3x 2 = 108 Answer(a) x = … [1] (b) w 6 # w k = w 18 Find the value of k. Answer(b) k = … [1]
2 marks
Mark scheme: 11 (a) 6 cao 1 (b) 12 final answer 1 6
This question in 0580/12 Oct/Nov 2015
Q29 · 16 19 27 35 36 45 64 For each part of this question, write down one number from the list… 0580/12 Feb/March 2016
19 16 19 27 35 36 45 64 For each part of this question, write down one number from the list that is (a) a multiple of 7, … [1] (b) both a square number and a cube number, … [1] (c) a prime number. … [1]
3 marks
Mark scheme: 19 (a) 35 1 (b) 64 1 (c) 19 1
This question in 0580/12 Feb/March 2016
Q30 · Find the cube root of 4913 0580/13 May/June 2016
3 Find the cube root of 4913. … [1]
1 marks
Mark scheme: 3 17 1
This question in 0580/13 May/June 2016
Question 31 0580/11 Oct/Nov 2016
14 Calculate. 4 (a) of 90 5 … [1] 7.1 # 4 .8 (b) 15.3 - 9.62 … [1] (c) 3 4913 … [1]
3 marks
Mark scheme: 14 (a) 72 1 (b) 6 1 (c) 17 1
This question in 0580/11 Oct/Nov 2016
Q32 · V = 4p2 Find V when p = 3 0580/13 Oct/Nov 2016
3 V = 4p2 Find V when p = 3. V = … [1]
1 marks
Mark scheme: 3 36 1
This question in 0580/13 Oct/Nov 2016
Q33 · Find the value of (a) 196 , … [1] 24 (b) 3 0580/12 Feb/March 2017
3 Find the value of (a) 196 , … [1] 24 (b) 3 . .02 … [1]
2 marks
Mark scheme: 3 (a) 14 1 (b) 3000 1
This question in 0580/12 Feb/March 2017
Q34 · Write, as a decimal, the value of 5-3 0580/11 May/June 2017
2 Write, as a decimal, the value of 5-3. … [1]
1 marks
Mark scheme: 2 [0].008 1
This question in 0580/11 May/June 2017
Q35 · 512 16 Work out 2 0580/11 May/June 2017
3 512 16 Work out 2 . 6 Write your answer as a fraction in its lowest terms. … [2]
2 marks
Mark scheme: 16 2 2 8 4 B1 for or 9 36 18
This question in 0580/11 May/June 2017
Q36 · Calculate 120 + 3.8 2 - 25 0580/12 May/June 2017
3 Calculate 120 + 3.8 2 - 25 . … [1]
1 marks
Mark scheme: 3 [0].394 1 or [0].3944 to [0].3945
This question in 0580/12 May/June 2017
Q37 · Find the value of (a) 173, … [1] (b) 3 729 0580/13 May/June 2017
8 Find the value of (a) 173, … [1] (b) 3 729 . … [1]
2 marks
Mark scheme: 8(a) 4913 1 8(b) 9 1
This question in 0580/13 May/June 2017
Q38 · Write down the value of 120 0580/12 Oct/Nov 2017
3 Write down the value of 120. … [1]
1 marks
Mark scheme: 3 1 1
This question in 0580/12 Oct/Nov 2017
Q39 · Work out the value of 4 - 2 0580/13 May/June 2018
5 Work out the value of 4 - 2 . … [1]
1 marks
Mark scheme: 5 1 1 [0].0625 or 16
This question in 0580/13 May/June 2018
Question 40 0580/12 Oct/Nov 2018
16 Calculate. (a) .413 … [1] (b) - 4 - 5 2 - 2 # 4 # - 3 ^ h … [1] 4.88 - 2.36 (c) 5.3 + 1.9 … [1] (d) 56.25 - 3 15.625 … [1]
4 marks
Mark scheme: 16(a) 68.921 1 16(b) –53 1 16(c) [0].35 1 16(d) 5 1
This question in 0580/12 Oct/Nov 2018
Question 41 0580/13 May/June 2019
8 Calculate. (a) - 12 ' - 2 … [1] (b) 3 2 3 + 2 … [1]
2 marks
Mark scheme: 8(a) 6 1 8(b) 2.15 or 2.154 … 1
This question in 0580/13 May/June 2019
Q42 · Find the value of (a) 242, … [1] (b) 3 2197 0580/12 Oct/Nov 2019
4 Find the value of (a) 242, … [1] (b) 3 2197 . … [1]
2 marks
Mark scheme: 4(a) 576 1 4(b) 13 1
This question in 0580/12 Oct/Nov 2019
Q43 · Find the value of (a) 60 + 62, … [1] (b) 5-4 0580/12 Oct/Nov 2019
13 Find the value of (a) 60 + 62, … [1] (b) 5-4. … [1]
2 marks
Mark scheme: 13(a) 37 1 13(b) 1 1 [0].0016 or 1.6 × 10–3 or 625
This question in 0580/12 Oct/Nov 2019
Q44 · Write down the reciprocal of 40 0580/12 Feb/March 2020
8 (a) Write down the reciprocal of 40. … [1] (b) Calculate 3 40 . Give your answer correct to 4 decimal places. … [2] (c) Write the number 40 in standard form. … [1]
4 marks
Mark scheme: 8(a) 1 1 or 0.025 40 8(b) 3.4200 cao 2 B1 for 3.419 to 3.420 8(c) 4[.0] × 10[1] cao 1
This question in 0580/12 Feb/March 2020
Q45 · Find the value of 196 0580/12 May/June 2020
4 (a) Find the value of 196. … [1] (b) Calculate 153. … [1]
2 marks
Mark scheme: 4(a) 14 1 4(b) 3375 1
This question in 0580/12 May/June 2020
Question 46 0580/11 Oct/Nov 2020
4 Calculate. 1 - 82 .001 … [1]
1 marks
Mark scheme: 4 6 1
This question in 0580/11 Oct/Nov 2020
Q47 · 29 A = bc 4 Calculate the value of A when b = 3 and c = 6 0580/12 Oct/Nov 2020
1 29 A = bc 4 Calculate the value of A when b = 3 and c = 6 . … [2]
2 marks
Mark scheme: 9 27 2 M1 for 0.25 × 3 × 62 or better
This question in 0580/12 Oct/Nov 2020
Q48 · Write 825 as the product of its prime factors 0580/12 Oct/Nov 2020
21 Write 825 as the product of its prime factors. … [2]
2 marks
Mark scheme: 21 3 × 52 × 11 or 3 × 5 × 5 × 11 2 B1 for 3, 5, 5, 11 May be seen in a factor tree or table
This question in 0580/12 Oct/Nov 2020
Question 49 0580/13 Oct/Nov 2020
8 Calculate. 4 .00025 … [1]
1 marks
Mark scheme: 8 80 1
This question in 0580/13 Oct/Nov 2020
Q50 · Calculate the value of .729 0580/12 Feb/March 2021
3 Calculate the value of .729 . … [1]
1 marks
Mark scheme: 3 2.7[0] 1
This question in 0580/12 Feb/March 2021
Q51 · Find the value of 225 0580/11 May/June 2021
2 (a) Find the value of 225. … [1] 2 (b) Write down the reciprocal of . 3 … [1] (c) Work out three‑quarters of one‑third. … [1] (d) Work out - 7 - ( 6 - 8) . … [1]
4 marks
Mark scheme: 2(a) 15 1 2(b) 1 1 12 oe 2(c) 1 1 oe 4 2(d) –5 1
This question in 0580/11 May/June 2021
Question 52 0580/12 May/June 2021
11 Calculate 4 .00256 . … [1]
1 marks
Mark scheme: 11 2 1 0.4 or 5
This question in 0580/12 May/June 2021
Q53 · 12 18 29 49 91 125 From the list of numbers, write down (a) a cube number, … [1] (b) a… 0580/13 May/June 2021
9 12 18 29 49 91 125 From the list of numbers, write down (a) a cube number, … [1] (b) a prime number. … [1]
2 marks
Mark scheme: 9(a) 125 1 9(b) 29 1
This question in 0580/13 May/June 2021
Q54 · Find the value of 345.96 0580/12 Oct/Nov 2021
2 Find the value of 345.96. … [1]
1 marks
Mark scheme: 2 18.6 1
This question in 0580/12 Oct/Nov 2021
Q55 · Work out 5 # 62 0580/12 Feb/March 2022
10 Work out 5 # 62 . Give your answer correct to 2 decimal places. … [2]
2 marks
Mark scheme: 10 80.50 cao 2 B1 for 80.498…or 80.5 or correctly rounding their more accurate decimal to 2dp
This question in 0580/12 Feb/March 2022
Question 56 0580/12 Feb/March 2022
19 Simplify. (a) 5f + 7g - 8f + 2g … [2] (b) h 2 # h 5 … [1] (c) 16x 2 # 5y 0 … [2]
5 marks
Mark scheme: 19(a) −3 f + 9 g final answer 2 B1 for −f3 or 9g or correct answer spoilt 19(b) h7 final answer 1 19(c) 20x 2 2 0 B1 for 16 x = 4 x soi or y = 1 soi
This question in 0580/12 Feb/March 2022
Q57 · Calculate 4 5 - 5 4 0580/11 May/June 2022
9 Calculate 4 5 - 5 4 . … [1]
1 marks
Mark scheme: 9 399 1
This question in 0580/11 May/June 2022
Q58 · Find the value of 68 # 153 0580/12 May/June 2022
13 (a) Find the value of 68 # 153 . … [1] 3 (b) Find the value of 6789 1. Give your answer correct to 2 decimal places. … [2]
3 marks
Mark scheme: 13(a) 102 1 13(b) 18.94 cao 2 B1 for 18.9 or 18.93 or 18.935… If zero scored, SC1 for rounding their value correctly to 2 decimal places
This question in 0580/12 May/June 2022
Q59 · Mk 37 Work out the value of when m = 4 and k = 7 0580/13 May/June 2022
mk 37 Work out the value of when m = 4 and k = 7 . 3 … [2]
2 marks
Mark scheme: 7 792 or 792.1… 2 4 7 3 M1 for oe 3 or B1 for 1372
This question in 0580/13 May/June 2022
Q60 · Find the value of 53.29 0580/12 Oct/Nov 2022
2 Find the value of 53.29 . … [1]
1 marks
Mark scheme: 2 7.3 1
This question in 0580/12 Oct/Nov 2022
Q61 · 120 121 149 164 216 From this list, write down (a) a square number, … [1] (b) a cube… 0580/13 Oct/Nov 2022
3 120 121 149 164 216 From this list, write down (a) a square number, … [1] (b) a cube number. … [1]
2 marks
Mark scheme: 3(a) 121 1 3(b) 216 1
This question in 0580/13 Oct/Nov 2022
Q62 · 120 = 2 m # 3 # 5 Find the value of m 0580/13 Oct/Nov 2022
22 (a) 120 = 2 m # 3 # 5 Find the value of m. m = … [1] (b) One traffic light changes to red every 120 seconds. Another traffic light changes to red every 144 seconds. Both change to red at 10 00. Find the time at which they next change to red together. … [3]
4 marks
Mark scheme: 22(a) 3 cao 1 22(b) 10 12 3 B2 for 720 or 12 mins OR M1 for 720k or 2 2 2 2 3 3 5 or [144 =] 2 2 2 2 3 3 and [120 =] 2 2 2 3 5 or correct factor trees or tables of both 120 and 144 OR M2 for listing times/multiples of both 120 and 144 to at least 720 or 10 12 or M1 for listing at least 3 of each or one full list
This question in 0580/13 Oct/Nov 2022
Q63 · Calculate 5.76 + 2.83 0580/12 Feb/March 2024
8 Calculate 5.76 + 2.83 . … [1]
1 marks
Mark scheme: 8 24.352 1
This question in 0580/12 Feb/March 2024
Question 64 0580/11 May/June 2024
19 Calculate. (a) 3 343 - 40.96 … [1] (b) (192 + 4 # 16 ) .125 … [1]
2 marks
Mark scheme: 19(a) 3 1 0.6 or 5 19(b) 1024 1
This question in 0580/11 May/June 2024
Q65 · 61 62 63 64 65 66 67 68 69 From the list of numbers, write down (a) a cube number … [1]… 0580/13 Oct/Nov 2024
8 61 62 63 64 65 66 67 68 69 From the list of numbers, write down (a) a cube number … [1] (b) a prime number. … [1]
2 marks
Mark scheme: 8(a) 64 1 8(b) 61 or 67 1
This question in 0580/13 Oct/Nov 2024
Q66 · Find the value of (a) 103 … [1] (b) 3 27 … [1] (c) 70 0580/12 Feb/March 2025
4 Find the value of (a) 103 … [1] (b) 3 27 … [1] (c) 70. … [1]
3 marks
Mark scheme: 4(a) 1000 1 4(b) 3 1 4(c) 1 1
This question in 0580/12 Feb/March 2025
Q67 · A = 2 3 # 3 B = 3 2 # 5 (a) Find the highest common factor (HCF) of A and B 0580/11 May/June 2025
22 A = 2 3 # 3 B = 3 2 # 5 (a) Find the highest common factor (HCF) of A and B. … [1] (b) Find the lowest common multiple (LCM) of A and B. … [2]
3 marks
Mark scheme: 22(a) 3 1 22(b) 360 2 B1 for answer 360k, k > 1 or M1 for 23×32×5 oe or for 24, 48, 72… and 45, 90, 135… seen
This question in 0580/11 May/June 2025
Q68 · Write down the value of (a) 36 … [1] (b) 103 0580/12 May/June 2025
3 Write down the value of (a) 36 … [1] (b) 103. … [1]
2 marks
Mark scheme: 3(a) 6 1 3(b) 1000 cao 1
This question in 0580/12 May/June 2025
Q69 · Find the value of the reciprocal of 1 0580/12 May/June 2025
7 (a) Find the value of the reciprocal of 1. 3 … [1] (b) Write 2 -3 as a fraction. … [1]
2 marks
Mark scheme: 7(a) 3 1 7(b) 1 1 cao 8
This question in 0580/12 May/June 2025
Question 70 0580/13 May/June 2025
3 (a) Write down 169 . … [1] (b) Work out the value of 24. … [1] (c) Work out the value of 10 -2 . … [1] (d) Work out -18 ' -4 . … [1] (e) Work out 1.6 # 0. 02 . … [1]
5 marks
Mark scheme: 3(a) 13 1 3(b) 16 1 3(c) 1 1 or 0.01 100 3(d) 9 1 1 or 4.5 or 4 2 2 3(e) 0.032 1
This question in 0580/13 May/June 2025
Q71 · Write down a prime number between 20 and 30 0580/11 Oct/Nov 2025
17 (a) Write down a prime number between 20 and 30. … [1] 2 (b) Simplify ` 9j . … [1]
2 marks
Mark scheme: 17(a) 23 or 29 1 17(b) 9 cao 1
This question in 0580/11 Oct/Nov 2025
Q72 · Write down the value of 144 0580/12 Oct/Nov 2025
4 (a) Write down the value of 144. … [1] (b) Work out the value of 53. … [1]
2 marks
Mark scheme: 4(a) 12 1 4(b) 125 cao 1
This question in 0580/12 Oct/Nov 2025
Q73 · Anna thinks of a number, she multiplies it by 2 and then finds the square root 0580/13 Oct/Nov 2025
6 Anna thinks of a number, she multiplies it by 2 and then finds the square root. The answer is 12. What number did Anna think of? … [2]
2 marks
Mark scheme: 6 72 2 M1 for 122 [÷ 2]
This question in 0580/13 Oct/Nov 2025
Q74 · Find the value of (a) 25 … [1] (b) 60 0580/13 Oct/Nov 2025
9 Find the value of (a) 25 … [1] (b) 60. … [1]
2 marks
Mark scheme: 9(a) 32 1 9(b) 1 1
This question in 0580/13 Oct/Nov 2025
![Question 1: When x = 5 find the value of (a) 4x2, Answer(a) [1] (b) (4x)2. Answer(b) [1]](https://img.pastlit.com/crops/44d13a35-d287-4292-aed4-91e4d89260b0/q4.webp)
![Question 2: = < > Use one of the above symbols to complete each of the statements in the answer spaces. Answer(a) 23 32 [1] Answer(b) 9 % 0.09 [1]](https://img.pastlit.com/crops/44d13a35-d287-4292-aed4-91e4d89260b0/q11.webp)
![Question 3: Work out 4-3 as a fraction. Answer [2]](https://img.pastlit.com/crops/49b7271c-c9d0-442e-8467-d3c89b05b93f/q5.webp)
![Question 4: When x = –3 find the value of x3+ 2x2. Answer [2]](https://img.pastlit.com/crops/49b7271c-c9d0-442e-8467-d3c89b05b93f/q8.webp)
1 / 23![Question 5: Work out 433 , giving (a) your full calculator display, Answer(a) [1] (b) your answer correct to the nearest thousand. Answer(b) [1]](https://img.pastlit.com/crops/1de5a75f-f1cc-453c-bf73-80412ef3629e/q9.webp)
![Question 6: > = < Choose one of the symbols above to complete each of the following statements. 5 (a) 74% 7 [1] _3 1 (b) 8 2 [1]](https://img.pastlit.com/crops/000bb0b9-c819-48df-8870-30712efa0fa7/q7.webp)
2 / 23![Question 7: x is an integer between 60 and 90. For Examiner's Write down the value of x when it is Use (a) an odd square number, Answer(a) x = [1] (b) …](https://img.pastlit.com/crops/2cd2f0a6-59d7-4645-88e0-286e35b9db74/q14.webp)
![Question 8: (a) Find the value of p when p3 = −27. For Examiner's Use Answer(a) p = [1] −1 1 (b) Find the value of q when q = . 6 Answer(b) q = [1] (c)…](https://img.pastlit.com/crops/654c9fd3-7c1c-497e-aa86-765832473a1f/q14.webp)
3 / 23![Question 9: (a) Find the value of p when p3 = −27. For Examiner's Use Answer(a) p = [1] −1 1 (b) Find the value of q when q = . 6 Answer(b) q = [1] (c)…](https://img.pastlit.com/crops/a29f599b-ff9f-4efe-beab-70aa7cfb16c3/q14.webp)
![Question 10: Write down the value of (a) 10-2, Answer(a) [1] (b) 40, Answer(b) [1] (c) 3 343 . Answer(c) [1]](https://img.pastlit.com/crops/6cd54baa-d384-4671-a807-d00f83ca294d/q12.webp)
![Question 11: Work out 3 7.2 3 − 100 . Give your answer correct to 3 decimal places. Answer [2]](https://img.pastlit.com/crops/fd28edb0-1d75-467f-aebb-1e2bed285eb1/q7.webp)
4 / 23![Question 12: Using integers between 10 and 30, write down (a) an odd multiple of 7, Answer(a) [1] (b) a cube number. Answer(b) [1]](https://img.pastlit.com/crops/311704b6-970a-4239-84fa-d2e4c31bc8ce/q9.webp)
![Question 13: Find the cube root of 96. Give your answer correct to 2 decimal places. Answer [2]](https://img.pastlit.com/crops/92d3a1af-3354-4cb2-9002-c81ebe2f6855/q6.webp)
![Question 14: 210 211 212 213 214 215 216 For Examiner's From the list of numbers, find Use (a) a prime number, Answer(a) [1] (b) a cube number. Answer(b…](https://img.pastlit.com/crops/db9304cc-8ebd-4189-a5ab-637b60ced984/q8.webp)
![Question 15: –2 –2 1318 Show that 3 + 2 = . 36 Write down all the steps of your working. Answer [2]](https://img.pastlit.com/crops/db9304cc-8ebd-4189-a5ab-637b60ced984/q18.webp)
5 / 23![Question 16: (a) Write down the next prime number after 47. Answer(a) [1] (b) Write down the next square number after 49. Answer(b) [1]](https://img.pastlit.com/crops/048bece3-cca0-4145-876a-d9c9edd8ad59/q4.webp)
![Question 17: I K = For Examiner's Choose one of these symbols to make each statement correct. Use (a) −15 −5 [1] (b) (−5)2 25 [1]](https://img.pastlit.com/crops/048bece3-cca0-4145-876a-d9c9edd8ad59/q5.webp)
6 / 23![Question 19: 100 164 200 343 999 Write down the cube number from this list. Answer ............................................... [1] _________________…](https://img.pastlit.com/crops/a6c50ea4-c874-4188-b3df-cdeee68911d1/q2.webp)
![Question 20: Find the value of 1.473. Give your answer correct to 3 decimal places. Answer ............................................... [2] _________…](https://img.pastlit.com/crops/37add66c-a8cc-4828-94a7-06d7a3c5d84c/q2.webp)
![Question 21: Find the value of (a) 94, Answer(a) ............................................... [1] (b) 60. Answer(b) .................................…](https://img.pastlit.com/crops/8f8321ec-4bb3-4681-9369-66242019f1f6/q11.webp)
![Question 22: (a) Complete the following statement. For Examiner′s Use The two common factors of 15 and 20 are 1 and ......................... . [1] (b) …](https://img.pastlit.com/crops/c69a05ca-b8b0-4633-a771-0cb313abea3b/q13.webp)
7 / 23![Question 23: (a) Find the value of 5x2 when x = –4. Answer(a) ................................................ [2] (b) Make x the subject of the formula…](https://img.pastlit.com/crops/48182f3f-1f1c-4d7e-8344-1bacb49e1242/q21.webp)
![Question 24: Find (a) the cube root of 729, Answer(a) ................................................ [1] (b) the two square roots of 225, Answer(b) ..…](https://img.pastlit.com/crops/995b067f-2a2c-4637-9e3d-bce7f14bfad7/q18.webp)
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![Question 26: (a) Write down the prime number between 62 and 70. Answer(a) ................................................ [1] (b) Write 54 as the produ…](https://img.pastlit.com/crops/e9e30d36-31f0-4b84-8b8a-8c2dc4464acb/q19.webp)
9 / 23![Question 27: Calculate. (a) 3.2 × (5.7 – 1.3) + 4.8 Answer(a) ................................................ [1] (b) 2.54 - 0.85 Answer(b) ...........…](https://img.pastlit.com/crops/e750ec9a-ee37-46c2-b89d-578bcbe1eb55/q5.webp)
![Question 28: (a) Solve. 3x 2 = 108 Answer(a) x = .................................................. [1] (b) w 6 # w k = w 18 Find the value of k. Answer…](https://img.pastlit.com/crops/94a0ff97-3161-41c1-a182-638f9d5b7fb2/q11.webp)
10 / 23![Question 30: Find the cube root of 4913. .................................................. [1]](https://img.pastlit.com/crops/21169036-4e1d-4ee8-bdff-d6a1824ab661/q3.webp)
![Question 31: Calculate. 4 (a) of 90 5 ................................................. [1] 7.1 # 4 .8 (b) 15.3 - 9.62 .................................…](https://img.pastlit.com/crops/94bef9d0-0bae-478e-9db7-b48ded8dc376/q14.webp)
![Question 32: V = 4p2 Find V when p = 3. V = ................................................[1]](https://img.pastlit.com/crops/c854d9b8-7ad8-4fea-ad4c-cf4b3b6aea74/q3.webp)
![Question 33: Find the value of (a) 196 , ................................................... [1] 24 (b) 3 . .02 ........................................…](https://img.pastlit.com/crops/deb31e6c-dab7-4969-a198-e44f283d7f17/q3.webp)
11 / 23![Question 34: Write, as a decimal, the value of 5-3. .............................................. [1]](https://img.pastlit.com/crops/fc616d19-b8e3-4845-a032-f25b1b6e7b50/q2.webp)
![Question 35: 512 16 Work out 2 . 6 Write your answer as a fraction in its lowest terms. .............................................. [2]](https://img.pastlit.com/crops/fc616d19-b8e3-4845-a032-f25b1b6e7b50/q16.webp)
![Question 36: Calculate 120 + 3.8 2 - 25 . ................................................. [1]](https://img.pastlit.com/crops/94f90766-e44d-4cd3-8161-662b7262201e/q3.webp)
![Question 37: Find the value of (a) 173, ................................................... [1] (b) 3 729 . ............................................…](https://img.pastlit.com/crops/ae3bd608-1422-428e-a09a-fcfd571352e3/q8.webp)
![Question 38: Write down the value of 120. .............................................. [1]](https://img.pastlit.com/crops/d4ef36e9-0a3a-4bb7-bb9d-c43398a2763b/q3.webp)
12 / 23![Question 39: Work out the value of 4 - 2 . ................................................... [1]](https://img.pastlit.com/crops/ddfe8510-b93d-4d50-b8a0-3e123e9c8c13/q5.webp)
![Question 40: Calculate. (a) .413 ................................................ [1] (b) - 4 - 5 2 - 2 # 4 # - 3 ^ h ..................................…](https://img.pastlit.com/crops/0fee0350-e4f1-477c-8455-a6924583aded/q16.webp)
![Question 41: Calculate. (a) - 12 ' - 2 .................................................... [1] (b) 3 2 3 + 2 ..........................................…](https://img.pastlit.com/crops/f6e8d684-a7ef-4cfb-a438-1c70b62c2563/q8.webp)
13 / 23![Question 42: Find the value of (a) 242, .................................................... [1] (b) 3 2197 . ..........................................…](https://img.pastlit.com/crops/77d72e58-0bad-4fe6-876c-ed46e072109a/q4.webp)
![Question 43: Find the value of (a) 60 + 62, .................................................... [1] (b) 5-4. ..........................................…](https://img.pastlit.com/crops/77d72e58-0bad-4fe6-876c-ed46e072109a/q13.webp)
![Question 44: (a) Write down the reciprocal of 40. ................................................. [1] (b) Calculate 3 40 . Give your answer correct to…](https://img.pastlit.com/crops/1ecd7499-29c9-4bb9-a644-8829544d1437/q8.webp)
14 / 23![Question 45: (a) Find the value of 196. ................................................. [1] (b) Calculate 153. .......................................…](https://img.pastlit.com/crops/8745ad0e-fb4c-4184-a200-74fee3021253/q4.webp)
![Question 46: Calculate. 1 - 82 .001 ................................................. [1]](https://img.pastlit.com/crops/7cfddb8b-1aeb-47f4-add9-6d026a7942ec/q4.webp)
![Question 47: 29 A = bc 4 Calculate the value of A when b = 3 and c = 6 . ................................................. [2]](https://img.pastlit.com/crops/1538206f-0c46-4671-9f58-0a478195cf0f/q9.webp)
![Question 48: Write 825 as the product of its prime factors. ................................................. [2]](https://img.pastlit.com/crops/1538206f-0c46-4671-9f58-0a478195cf0f/q21.webp)
15 / 23![Question 49: Calculate. 4 .00025 ................................................. [1]](https://img.pastlit.com/crops/956c3ddc-71e6-4290-9e2d-d54d8933b6b6/q8.webp)
![Question 50: Calculate the value of .729 . ................................................. [1]](https://img.pastlit.com/crops/c834804e-4077-4bf9-9079-ffe9dda9ae6c/q3.webp)
![Question 51: (a) Find the value of 225. ................................................. [1] 2 (b) Write down the reciprocal of . 3 ...................…](https://img.pastlit.com/crops/8ef65576-95ba-4a5e-bc6c-05737fe9e2c1/q2.webp)
![Question 52: Calculate 4 .00256 . ................................................. [1]](https://img.pastlit.com/crops/da0eb517-c9b6-487e-a526-903eeaa0bdb8/q11.webp)
16 / 23![Question 53: 12 18 29 49 91 125 From the list of numbers, write down (a) a cube number, ..................................................... [1] (b) a …](https://img.pastlit.com/crops/e47f3805-d13e-4095-8d11-dbebb00ad824/q9.webp)
![Question 54: Find the value of 345.96. ................................................. [1]](https://img.pastlit.com/crops/3b4e80a8-f4a1-46e5-bb8d-a9eb16a1aefd/q2.webp)
![Question 55: Work out 5 # 62 . Give your answer correct to 2 decimal places. ................................................. [2]](https://img.pastlit.com/crops/e4f35e16-bd14-402b-9780-a20b03e66f6a/q10.webp)
![Question 56: Simplify. (a) 5f + 7g - 8f + 2g ................................................. [2] (b) h 2 # h 5 .......................................…](https://img.pastlit.com/crops/e4f35e16-bd14-402b-9780-a20b03e66f6a/q19.webp)
17 / 23![Question 57: Calculate 4 5 - 5 4 . ................................................. [1]](https://img.pastlit.com/crops/6c8b689c-7c7f-43c2-9bd7-5f565c907d22/q9.webp)
![Question 58: (a) Find the value of 68 # 153 . ................................................. [1] 3 (b) Find the value of 6789 1. Give your answer cor…](https://img.pastlit.com/crops/292a3296-31da-41d3-a09d-2c03186a3b79/q13.webp)
![Question 59: mk 37 Work out the value of when m = 4 and k = 7 . 3 ................................................. [2]](https://img.pastlit.com/crops/ff614652-0cec-4230-a5a6-a2b28e458d4c/q7.webp)
![Question 60: Find the value of 53.29 . ................................................. [1]](https://img.pastlit.com/crops/86a610b7-650b-4650-b487-4bdcf5d314f0/q2.webp)
18 / 23![Question 61: 120 121 149 164 216 From this list, write down (a) a square number, ................................................. [1] (b) a cube number…](https://img.pastlit.com/crops/584bb21c-f14f-4658-8c38-078ecad6cd0f/q3.webp)
![Question 62: (a) 120 = 2 m # 3 # 5 Find the value of m. m = ................................................ [1] (b) One traffic light changes to red ev…](https://img.pastlit.com/crops/584bb21c-f14f-4658-8c38-078ecad6cd0f/q22.webp)
19 / 23![Question 63: Calculate 5.76 + 2.83 . ................................................. [1]](https://img.pastlit.com/crops/e61c3206-1c8c-48f9-8834-4cc244a2c6a2/q8.webp)
![Question 64: Calculate. (a) 3 343 - 40.96 ................................................. [1] (b) (192 + 4 # 16 ) .125 ...............................…](https://img.pastlit.com/crops/b99c3f8e-1e15-4a06-a0c3-2e94c5f2da3e/q19.webp)
![Question 65: 61 62 63 64 65 66 67 68 69 From the list of numbers, write down (a) a cube number ................................................. [1] (b)…](https://img.pastlit.com/crops/101ad8c6-cc93-4c30-bd84-36d4d055a684/q8.webp)
![Question 66: Find the value of (a) 103 ................................................. [1] (b) 3 27 ................................................. …](https://img.pastlit.com/crops/1a2f6f89-ea58-42d2-a2ca-311d10bd09f6/q4.webp)
20 / 23![Question 67: A = 2 3 # 3 B = 3 2 # 5 (a) Find the highest common factor (HCF) of A and B. ................................................. [1] (b) Find…](https://img.pastlit.com/crops/09933610-506d-4873-b380-845cef6fe8e4/q22.webp)
![Question 68: Write down the value of (a) 36 ................................................. [1] (b) 103. .............................................…](https://img.pastlit.com/crops/6e6c5d64-d8fd-49b3-b317-d2f57eab5def/q3.webp)
![Question 69: (a) Find the value of the reciprocal of 1. 3 ................................................. [1] (b) Write 2 -3 as a fraction. ..........…](https://img.pastlit.com/crops/6e6c5d64-d8fd-49b3-b317-d2f57eab5def/q7.webp)
21 / 23![Question 70: (a) Write down 169 . ................................................. [1] (b) Work out the value of 24. ..................................…](https://img.pastlit.com/crops/2b367ce3-e0fb-4252-82eb-f271acd9f535/q3.webp)
![Question 71: (a) Write down a prime number between 20 and 30. ................................................. [1] 2 (b) Simplify ` 9j . ..............…](https://img.pastlit.com/crops/b638ae89-c78e-4b06-934a-8c99781602d8/q17.webp)
22 / 23![Question 72: (a) Write down the value of 144. ................................................. [1] (b) Work out the value of 53. ......................…](https://img.pastlit.com/crops/34e158b4-e899-4b2a-919d-ca7fd818f4c2/q4.webp)
![Question 74: Find the value of (a) 25 ................................................. [1] (b) 60. ................................................. [1]](https://img.pastlit.com/crops/749d4094-9311-418d-8449-8a2f280b4ab9/q9.webp)
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