In the number 7.249, what is the value of the digit 4?
A) 4
B) 0.4
C) 0.04
D) 0.004
E) 40
(Total for Question 1 is 1 mark)
2
Which of these decimals is the smallest?
A) 0.4
B) 0.38
C) 0.408
D) 0.45
E) 0.399
(Total for Question 2 is 1 mark)
3
Round 4.263 to 1 decimal place.
A) 4
B) 4.2
C) 4.3
D) 4.26
E) 4.27
(Total for Question 3 is 1 mark)
4
Work out 0.36 x 100.
A) 0.036
B) 3.6
C) 36
D) 360
E) 3600
(Total for Question 4 is 1 mark)
5
Work out 92.5 / 1000.
A) 9.25
B) 0.925
C) 0.0925
D) 925
E) 9250
(Total for Question 5 is 1 mark)
6
Work out 0.8 x 0.9.
A) 0.72
B) 7.2
C) 0.081
D) 0.63
E) 1.7
(Total for Question 6 is 1 mark)
7
Work out 6.3 / 7.
A) 0.9
B) 9
C) 0.09
D) 0.99
E) 0.7
(Total for Question 7 is 1 mark)
8
Convert 4/5 to a decimal.
A) 0.8
B) 0.45
C) 0.54
D) 1.25
E) 0.4
(Total for Question 8 is 1 mark)
9
Write 0.24 as a fraction in its simplest form.
A) 6/25
B) 24/100
C) 12/50
D) 2/4
E) 6/20
(Total for Question 9 is 1 mark)
10
Kwame buys a graphic novel costing £1.65, a chocolate bar costing £0.78 and a carton of juice costing £1.10. He pays with a £5 note.
(a)Calculate the total cost of the three items.(2)
(b)Calculate his change from £5.(2)
(Total for Question 10 is 4 marks)
11
A delivery van travels 5.75 km to the depot, 3.6 km to the first drop and 2.9 km to the second drop.
(a)Calculate the total distance travelled for the three parts of the journey.(2)
(b)Calculate how much further the van travelled to the depot than to the second drop.(1)
(Total for Question 11 is 3 marks)
12
Work out 3.7 + 2.9 x 0.4.
A) 4.86
B) 2.64
C) 5.06
D) 4.56
E) 26.4
(Total for Question 12 is 1 mark)
13
Which fraction is equivalent to 0.625?
A) 5/8
B) 3/5
C) 5/6
D) 3/4
E) 2/3
(Total for Question 13 is 1 mark)
14
This question is about the decimal 0.875.
(a)Show that 0.875 is equivalent to 7/8.(2)
(b)Hence write 3.875 as a mixed number in its simplest form.(2)
(Total for Question 14 is 4 marks)
15
Notebooks cost £0.95 each. Which of these is the cost of 6 notebooks?
A) £5.70
B) £5.40
C) £6.70
D) £4.70
E) £5.75
(Total for Question 15 is 1 mark)
16
A plank of wood is 3.2 m long. Freya cuts it into pieces that are each 0.4 m long.
(a)Calculate how many pieces she can cut.(2)
(b)State, with a reason, whether there is any wood left over.(2)
(Total for Question 16 is 4 marks)
17
Which list shows these amounts in order from smallest to largest: £2.05, £2.5, £2.055, £2.45?
A) £2.05, £2.055, £2.45, £2.5
B) £2.5, £2.45, £2.055, £2.05
C) £2.055, £2.05, £2.45, £2.5
D) £2.05, £2.45, £2.055, £2.5
E) £2.45, £2.05, £2.5, £2.055
(Total for Question 17 is 1 mark)
18
Work out the value of each expression, following the correct order of operations.
(a)4.8 - 1.5 x 0.6(2)
(b)(5.4 + 1.8) / 6(2)
(Total for Question 18 is 4 marks)
19
A cinema sells adult tickets for £8.75 and child tickets for £5.40. A family buys 2 adult tickets and 3 child tickets, and pays with two £20 notes.
(a)Calculate the total cost of the tickets.(3)
(b)Calculate their change from £40.(2)
(Total for Question 19 is 5 marks)
20
In the calculation 5.q4 x 3 = 16.32, the letter q represents a single missing digit. Find the value of q, showing your working.
(Total for Question 20 is 4 marks)
21
A market stall sells bananas at £1.36 per kilogram. Sanjay buys 3.5 kg of bananas and has £5 with him.
(a)Calculate the cost of the bananas.(3)
(b)State, with a reason, whether Sanjay has enough money to pay for the bananas.(1)
(Total for Question 21 is 4 marks)
22
Niamh has three lengths of ribbon: 3.15 m, 1.4 m and 0.95 m. She cuts the longest piece into 5 equal shorter lengths.
(a)Calculate the total length of ribbon Niamh has.(1)
(b)Calculate the length of each of the 5 equal shorter lengths cut from the longest piece.(2)
(Total for Question 22 is 3 marks)
23
A water bottle holds 0.75 litres when full. A jug holds 2 litres when full. Mrs Okafor fills the jug completely, then pours water from the jug into empty bottles until she cannot fill another bottle completely.
(a)Calculate how many bottles she can fill completely.(2)
(b)Calculate how much water is left in the jug after filling as many bottles as possible.(2)
(Total for Question 23 is 4 marks)
Mark scheme · EP.M4B Decimals: Practice Set 2
Question 1
B1 C) 0.04 cao
Answer: C) 0.04
Question 2
B1 B) 0.38 cao
Answer: B) 0.38
Question 3
B1 C) 4.3 cao
Answer: C) 4.3
Question 4
B1 C) 36 cao
Answer: C) 36
Question 5
B1 C) 0.0925 cao
Answer: C) 0.0925
Question 6
B1 A) 0.72 cao
Answer: A) 0.72
Question 7
B1 A) 0.9 cao
Answer: A) 0.9
Question 8
B1 A) 0.8 cao
Answer: A) 0.8
Question 9
B1 A) 6/25 cao
Answer: A) 6/25
Question 10
(a) M1 1.65 + 0.78 + 1.10 seen, or a correct part sum
(a) A1 £3.53 cao
(a) Answer: £3.53
(b) M1 5.00 - 3.53 seen, ft from part (a)
(b) A1 £1.47 cao
(b) Answer: £1.47
Question 11
(a) M1 5.75 + 3.6 + 2.9 seen, or a correct part sum
(a) A1 12.25 km cao
(a) Answer: 12.25 km
(b) B1 2.85 km cao
(b) Answer: 2.85 km
Question 12
B1 A) 4.86 cao
Answer: A) 4.86
Question 13
B1 A) 5/8 cao
Answer: A) 5/8
Question 14
(a) M1 0.875 written as 875/1000 oe
(a) A1 correctly simplified to 7/8 cso, answer given so working must be shown
(a) Answer: 7/8 (shown)
(b) M1 3.875 split as 3 + 0.875, ft from part (a)
(b) A1 3 7/8 cao
(b) Answer: 3 7/8
Question 15
B1 A) £5.70 cao
Answer: A) £5.70
Question 16
(a) M1 3.2 / 0.4 seen
(a) A1 8 pieces cao
(a) Answer: 8 pieces
(b) B1 correct conclusion: no, there is no wood left over
(b) B1 valid supporting reason, e.g. 8 pieces of 0.4 m use exactly 8 x 0.4 = 3.2 m, which is the full length of the plank
(b) Answer: No, there is no wood left over
Question 17
B1 A cao
Answer: A) £2.05, £2.055, £2.45, £2.5
Question 18
(a) M1 1.5 x 0.6 = 0.9 evaluated first
(a) A1 3.9 cao
(a) Answer: 3.9
(b) M1 5.4 + 1.8 = 7.2 evaluated first
(b) A1 1.2 cao
(b) Answer: 1.2
Question 19
(a) M1 2 x 8.75 seen, or 3 x 5.40 seen
(a) M1 correct method to find the total cost, e.g. 17.50 + 16.20
(a) A1 £33.70 cao
(a) Answer: £33.70
(b) M1 40 - 33.70 seen, ft from part (a)
(b) A1 £6.30 cao
(b) Answer: £6.30
Question 20
M1 16.32 / 3 seen
A1 5.44 found
M1 5.44 compared digit by digit with 5.q4 to identify the tenths digit
A1 q = 4 cao
Answer: q = 4
Question 21
(a) M1 1.36 x 3.5 seen
(a) M1 correct method to evaluate the product, e.g. 1.36 x 3 + 1.36 x 0.5
(a) A1 £4.76 cao
(a) Answer: £4.76
(b) B1 correct conclusion with reason, e.g. yes, since £4.76 is less than the £5 he has, ft from part (a)
(b) Answer: Yes, he has enough money
Question 22
(a) B1 5.5 m cao
(a) Answer: 5.5 m
(b) M1 3.15 / 5 seen
(b) A1 0.63 m cao
(b) Answer: 0.63 m
Question 23
(a) M1 0.75 x 2 = 1.5 and 0.75 x 3 = 2.25 seen or compared with 2 litres
(a) A1 2 bottles cao, since a third bottle would need 2.25 litres which is more than the 2 litres available