Number and Place Value Challenge - Worksheets, Questions and Revision

26 original exam-style questions - 6 pages of questions with a full mark scheme - free printable PDF.

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11+ · GL ASSESSMENT

EP.M25 Number and Place Value Challenge

GL ASSESSMENT EP.M25 · Calculators not allowed · about 50 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.

Number and Place Value Challenge

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A scholarship-level number skills paper for 11+ preparation. It covers place value into the millions and decimals, negative numbers, rounding and estimation, factors, multiples and primes, powers and roots, and the correct order of operations. Questions are ramped from warm-up recall items to demanding multi-step problems designed to stretch the strongest candidates.

1
In the number 5,406,932, what is the value of the digit 4?
  • A) 4
  • B) 40
  • C) 4,000
  • D) 40,000
  • E) 400,000
(Total for Question 1 is 1 mark)
2
Write the number 'six million, forty thousand and seventeen' in figures.
(Total for Question 2 is 1 mark)
3
Order these numbers from smallest to largest: 2.305, 2.35, 2.053, 2.5
(Total for Question 3 is 2 marks)
4
The temperature at midnight was -6C. By 9am it had risen by 10C. What was the temperature at 9am?
  • A) -16C
  • B) -4C
  • C) 4C
  • D) 16C
  • E) 6C
(Total for Question 4 is 1 mark)
5
Round 428,650 to the nearest thousand.
(Total for Question 5 is 1 mark)
6
St Aidan's Primary School orders 587 rulers at a cost of 21 pence each. By rounding each number to 1 significant figure, estimate the total cost of the order in pounds.
(Total for Question 6 is 2 marks)
7
Which of these numbers is a prime number?
  • A) 51
  • B) 57
  • C) 63
  • D) 71
  • E) 81
(Total for Question 7 is 1 mark)
8
Priya has two lengths of ribbon, 48 cm and 60 cm. She wants to cut both into pieces of equal length, as long as possible, with no ribbon left over. What length should each piece be?
(Total for Question 8 is 2 marks)
9
Find the Lowest Common Multiple (LCM) of 8 and 12.
(Total for Question 9 is 2 marks)
10
Work out 32 + 23.
  • A) 12
  • B) 17
  • C) 25
  • D) 72
  • E) 19
(Total for Question 10 is 1 mark)
11
Work out √144 + √9.
(Total for Question 11 is 1 mark)
12
Work out 4 + 2 x 3.
  • A) 18
  • B) 10
  • C) 9
  • D) 11
  • E) 24
(Total for Question 12 is 1 mark)
13
Work out (18 - 6) / 3 + 22.
(Total for Question 13 is 2 marks)
14
In the number 84.036, what is the value of the digit 3?
  • A) 3
  • B) 0.3
  • C) 0.03
  • D) 0.003
  • E) 30
(Total for Question 14 is 1 mark)
15
Order these numbers from smallest to largest: -8, 3, -2, 0, -11
(Total for Question 15 is 1 mark)
16
Work out -15 + 8 - (-6).
(Total for Question 16 is 2 marks)
17
A submarine is at a depth of 245 m below sea level. It then rises 180 m. What is its new depth, relative to sea level?
  • A) 425 m below sea level
  • B) 65 m below sea level
  • C) 65 m above sea level
  • D) 425 m above sea level
  • E) 25 m below sea level
(Total for Question 17 is 1 mark)
18
A parcel weighs 7.5482 kg. Round this weight to:
(a)1 decimal place.(1)
(b)2 decimal places.(1)
(Total for Question 18 is 2 marks)
19
Express 360 as a product of its prime factors.
(Total for Question 19 is 2 marks)
20
Which of the following is NOT a multiple of 6?
  • A) 42
  • B) 54
  • C) 68
  • D) 72
  • E) 96
(Total for Question 20 is 1 mark)
21
A number of chairs, n, can be arranged into rows of exactly 9 or rows of exactly 12, with none left over either way. If there are more than 100 but fewer than 140 chairs, how many chairs are there?
(Total for Question 21 is 3 marks)
22
Work out 53 - 42 x 2.
(Total for Question 22 is 2 marks)
23
Which of these is equivalent to 24 x 23?
  • A) 27
  • B) 212
  • C) 47
  • D) 21
  • E) 412
(Total for Question 23 is 1 mark)
24
Work out cbrt(125) + √49.
(Total for Question 24 is 1 mark)
25
Work out (-4)2 - (-3)3.
(Total for Question 25 is 2 marks)
26
Three bells ring at intervals of 12 minutes, 15 minutes and 20 minutes. All three ring together at 09:00. At what time will all three next ring together?
(Total for Question 26 is 3 marks)
Mark scheme · EP.M25 Number and Place Value Challenge

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26