In the number 47,208, what is the value of the digit 4?
A) 4
B) 40
C) 400
D) 4,000
E) 40,000
(Total for Question 1 is 1 mark)
2
Write the number 'three thousand and sixty-five' in figures.
(Total for Question 2 is 1 mark)
3
Order these numbers from smallest to largest: 4302, 4023, 4230, 4032
(Total for Question 3 is 2 marks)
4
Fill in the missing number in this sequence: 2.5, 25, 250, ____, 25000
(Total for Question 4 is 1 mark)
5
Round the number 3,847 as follows.
(a)Round 3,847 to the nearest 100.(1)
(b)Round 3,847 to the nearest 10.(1)
(Total for Question 5 is 2 marks)
6
Write the correct symbol, < , > or = , between each pair of numbers.
(a)0.7 ___ 0.65(1)
(b)0.09 ___ 0.9(1)
(Total for Question 6 is 2 marks)
7
Work out each calculation.
(a)6.3 x 100(1)
(b)4,500 / 1000(1)
(c)0.72 x 10(1)
(Total for Question 7 is 3 marks)
8
Order these decimals from largest to smallest: 0.8, 0.08, 0.85, 0.508, 0.58
(Total for Question 8 is 2 marks)
9
In the number 58.436, what is the value of the digit 3?
A) 3
B) 0.3
C) 0.03
D) 0.003
E) 30
(Total for Question 9 is 1 mark)
10
A number is exactly halfway between 4.2 and 4.5. What is the number?
(Total for Question 10 is 2 marks)
11
Four items in a Norwich shop are priced GBP 12.45, GBP 12.05, GBP 12.50 and GBP 12.09. Write the prices in order from cheapest to most expensive.
(Total for Question 11 is 2 marks)
12
One January morning, the temperatures in five UK cities were recorded: London -2C, Aberdeen -7C, Cardiff 1C, Belfast -4C, Manchester -1C.
(a)Which city was coldest?(1)
(b)List all five temperatures in order from coldest to warmest, naming each city.(2)
(Total for Question 12 is 3 marks)
13
The population of a UK town is 128,674.
(a)Round 128,674 to the nearest thousand.(1)
(b)Round 128,674 to the nearest ten thousand.(1)
(c)What is the value of the digit 2 in 128,674?(1)
(Total for Question 13 is 3 marks)
14
Using each of the digits 2, 0, 7 and 9 exactly once, write the largest and smallest possible 4-digit numbers. The smallest number must not start with 0.
(a)Largest possible number(1)
(b)Smallest possible number(1)
(Total for Question 14 is 2 marks)
15
Roman numerals.
(a)Write 47 as a Roman numeral.(1)
(b)What number does the Roman numeral CXIV represent?(1)
(Total for Question 15 is 2 marks)
16
Which of the following numbers is the largest?
A) four thousand and five
B) three thousand, nine hundred and fifty
C) four thousand and fifty
D) three thousand, nine hundred and five
(Total for Question 16 is 1 mark)
17
Order these values from smallest to largest: 3/4, 0.65, 70%, 0.8
(Total for Question 17 is 2 marks)
18
Order these numbers from smallest to largest: -0.3, -0.03, -3, 0.3, -0.33
(Total for Question 18 is 2 marks)
19
Round each number to the given number of significant figures.
(a)Round 6,482 to 1 significant figure.(1)
(b)Round 0.03567 to 2 significant figures.(1)
(Total for Question 19 is 2 marks)
20
A number line runs from 3.2 to 3.3 and is divided into 10 equal parts. Point P is on the 4th division mark counting from 3.2. What number does P represent?
(Total for Question 20 is 2 marks)
21
Explain why -8 is less than -3, even though 8 is greater than 3.
(Total for Question 21 is 2 marks)
22
A 4-digit whole number has these properties: the tens digit is 0; the thousands digit is double the units digit; the hundreds digit is 3 more than the thousands digit; the number is less than 3,000. Find the number.
(Total for Question 22 is 3 marks)
Mark scheme · EP.M1 Place Value and Ordering
Question 1
B1 correct option E (40,000) cao
Answer: E) 40,000
Question 2
B1 3,065 cao
Answer: 3,065
Question 3
M1 correct smallest (4023) and correct largest (4302) identified oe
A1 fully correct order: 4023, 4032, 4230, 4302 cao
Answer: 4023, 4032, 4230, 4302
Question 4
B1 2,500 cao
Answer: 2,500
Question 5
(a) B1 3,800 cao
(a) Answer: 3,800
(b) B1 3,850 cao
(b) Answer: 3,850
Question 6
(a) B1 > cao
(a) Answer: 0.7 > 0.65
(b) B1 < cao
(b) Answer: 0.09 < 0.9
Question 7
(a) B1 630 cao
(a) Answer: 630
(b) B1 4.5 cao
(b) Answer: 4.5
(c) B1 7.2 cao
(c) Answer: 7.2
Question 8
M1 correct largest (0.85) and correct smallest (0.08) identified oe, ft from a partially correct list
A1 fully correct order: 0.85, 0.8, 0.58, 0.508, 0.08 cao
Answer: 0.85, 0.8, 0.58, 0.508, 0.08
Question 9
B1 correct option C (0.03) cao
Answer: C) 0.03
Question 10
M1 adds 4.2 and 4.5 and divides by 2 oe, e.g. finds the gap (0.3) and halves it (0.15)
A1 4.35 cao
Answer: 4.35
Question 11
M1 correct cheapest (GBP 12.05) and most expensive (GBP 12.50) identified oe
(b) M1 correct coldest (Aberdeen, -7C) and correct warmest (Cardiff, 1C) identified ft from part (a)
(b) A1 fully correct order: Aberdeen -7C, Belfast -4C, London -2C, Manchester -1C, Cardiff 1C cao
(b) Answer: Aberdeen -7C, Belfast -4C, London -2C, Manchester -1C, Cardiff 1C
Question 13
(a) B1 129,000 cao
(a) Answer: 129,000
(b) B1 130,000 cao
(b) Answer: 130,000
(c) B1 20,000 cao
(c) Answer: 20,000
Question 14
(a) B1 9,720 cao
(a) Answer: 9,720
(b) B1 2,079 cao
(b) Answer: 2,079
Question 15
(a) B1 XLVII cao
(a) Answer: XLVII
(b) B1 114 cao
(b) Answer: 114
Question 16
B1 correct option C (4,050) cao
Answer: C) four thousand and fifty (4,050)
Question 17
M1 converts at least 3 of the 4 values to a common form (decimals) correctly, e.g. 3/4 = 0.75, 70% = 0.7 oe
A1 fully correct order: 0.65, 70%, 3/4, 0.8 cao
Answer: 0.65, 70%, 3/4, 0.8
Question 18
M1 correctly places -3 as smallest and 0.3 as largest oe, ft from a partially correct list
A1 fully correct order: -3, -0.33, -0.3, -0.03, 0.3 cao
Answer: -3, -0.33, -0.3, -0.03, 0.3
Question 19
(a) B1 6,000 cao
(a) Answer: 6,000
(b) B1 0.036 cao
(b) Answer: 0.036
Question 20
M1 finds the size of each division: (3.3 - 3.2) / 10 = 0.01 oe
A1 3.24 cao
Answer: 3.24
Question 21
B1 states that on a number line, numbers further to the left (or further below zero) are smaller, oe reference to distance from zero in the negative direction
B1 correctly concludes -8 is further from zero than -3 in the negative direction, so -8 is the smaller (more negative) number cao
Answer: For negative numbers, the one further from zero is smaller, not larger; -8 is further below zero than -3, so -8 < -3 even though 8 > 3.
Question 22
M1 sets up thousands digit = 2 x units digit and tests possible values (units = 1,2,3 giving thousands = 2,4,6) oe
M1 applies hundreds digit = thousands + 3 and the constraint 'less than 3,000' to eliminate other cases, identifying thousands = 2, units = 1, hundreds = 5