Number and Place Value Challenge Set 2 - Worksheets, Questions and Revision

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

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11+ · GL ASSESSMENT

EP.M35 Number and Place Value Challenge Set 2

GL ASSESSMENT EP.M35 · Calculators not allowed · about 55 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.

Number and Place Value Challenge Set 2

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A second scholarship-level number skills paper for 11+ preparation, made up of entirely fresh questions on place value into the millions and to three decimal places, ordering and rounding, negative numbers, powers and roots, and factors, multiples and primes. Questions are ramped from warm-up recall items to demanding multi-step worded puzzles designed to stretch the strongest candidates.

1
In the number 7,392,481, what is the value of the digit 9?
  • A) 90,000
  • B) 9,000
  • C) 900,000
  • D) 9
  • E) 900
(Total for Question 1 is 1 mark)
2
Write the number 'two million, six hundred and four thousand and eleven' in figures.
(Total for Question 2 is 1 mark)
3
In the number 19.647, what is the value of the digit 4?
(Total for Question 3 is 1 mark)
4
Round 356,284 to the nearest thousand.
  • A) 356,000
  • B) 356,300
  • C) 357,000
  • D) 356,200
  • E) 360,000
(Total for Question 4 is 1 mark)
5
Order these numbers from smallest to largest: 6.08, 6.008, 6.8, 6.18
(Total for Question 5 is 2 marks)
6
The temperature in Inverness at 6am was -9C. By 2pm it had risen by 15C. What was the temperature at 2pm?
  • A) -24C
  • B) -6C
  • C) 6C
  • D) 24C
  • E) 4C
(Total for Question 6 is 1 mark)
7
A cyclist recorded a distance of 14.5763 km. Round this distance to:
(a)1 decimal place.(1)
(b)2 decimal places.(1)
(c)the nearest whole number of kilometres.(1)
(Total for Question 7 is 3 marks)
8
Work out 18 - 4 x 3.
  • A) 42
  • B) 6
  • C) 14
  • D) 30
  • E) 10
(Total for Question 8 is 1 mark)
9
Work out 42 + 33.
  • A) 25
  • B) 43
  • C) 91
  • D) 144
  • E) 49
(Total for Question 9 is 1 mark)
10
Work out √169 - √25.
(Total for Question 10 is 1 mark)
11
Round each number to the given number of significant figures.
(a)Round 48,391 to 1 significant figure.(1)
(b)Round 0.006284 to 2 significant figures.(1)
(Total for Question 11 is 2 marks)
12
A baker has 84 cinnamon buns and 108 chocolate muffins. She wants to arrange them onto identical trays so that every tray has the same number of buns and the same number of muffins, with none left over. What is the greatest number of trays she can use?
(Total for Question 12 is 2 marks)
13
Which of these numbers is a prime number?
  • A) 91
  • B) 87
  • C) 79
  • D) 93
  • E) 99
(Total for Question 13 is 1 mark)
14
Work out -23 + 9 - (-14).
(Total for Question 14 is 2 marks)
15
Work out (27 - 15) / 22 + 5.
(Total for Question 15 is 2 marks)
16
Express 504 as a product of its prime factors.
(Total for Question 16 is 2 marks)
17
Greenwood Academy is ordering 312 revision folders at a cost of GBP 3.85 each. By rounding each number to 1 significant figure, estimate the total cost of the order.
(Total for Question 17 is 2 marks)
18
Two beacons flash together at the same moment. Beacon X flashes every 16 seconds and Beacon Y flashes every 20 seconds. After how many seconds will they next flash together?
(Total for Question 18 is 2 marks)
19
A 4-digit whole number has these properties: the tens digit is 0; the units digit is greater than 8; the thousands digit is double the hundreds digit; the number is between 4,000 and 5,000. Find the number.
(Total for Question 19 is 3 marks)
20
Order these values from smallest to largest: -15, 2.3, -2.03, 0, -15.5
(Total for Question 20 is 2 marks)
21
Which of these is equivalent to 56 / 52?
  • A) 53
  • B) 54
  • C) 58
  • D) 512
  • E) 14
(Total for Question 21 is 1 mark)
22
Work out cbrt(343) + √64.
(Total for Question 22 is 1 mark)
23
Work out (-6)2 - (-2)5.
(Total for Question 23 is 2 marks)
24
Three buses leave a depot together at 07:00. Bus A returns to the depot every 24 minutes, Bus B every 30 minutes and Bus C every 40 minutes, and each leaves again immediately after returning. At what time will all three buses next be at the depot together?
(Total for Question 24 is 3 marks)
25
A whole number, N, is greater than 100 and less than 200. N is a common multiple of 6 and 15. When the digits of N are added together, the digit sum is a prime number. Find N.
(Total for Question 25 is 3 marks)
Mark scheme · EP.M35 Number and Place Value Challenge Set 2

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