📄 Maths Paper 5 print pack: question paper · answer sheet · mark scheme

11+ MathsPractice Paper 5 · MathedUp

50 questions · 50 minutes
GL-style · 4 sections

Instructions

  1. Do not begin until you are told to start. You have 50 minutes for 50 questions.
  2. Mark every answer on the separate answer sheet, not on this paper.
  3. Choose one answer (A–E) for each question and shade the matching lozenge in pencil.
  4. Work quickly and carefully. If a question is hard, move on and come back.
  5. Rub out any answer you want to change. Do not leave two marks for one question.
Example: to choose answer C, shade it like this: ABCDE

Section 1Number & Calculation

Worked example
Round 514 to the nearest 10.
500A
530B
514C
510D
520E
Answer D — 514 rounds to 510.
1
Negative numbers
The thermometer shows a temperature of -9°C. It falls by 5°C. What is the new temperature?
-15-10-5051015°C
-14°CA
9°CB
-12°CC
-16°CD
-9°CE
2
Calculate
Omar has 63 marbles and gives 41 away. How many marbles are left?
21A
63B
41C
22D
32E
3
Roman numerals
Write 872 in Roman numerals.
DCCCLXIIA
CMLXXIIB
DCCCLXXVIIC
DCCCLXXIID
DCCCXXIIE
4
Negative numbers
The thermometer shows a temperature of -4°C. It falls by 4°C. What is the new temperature?
-15-10-5051015°C
-7°CA
-8°CB
-4°CC
-9°CD
-6°CE
5
Calculate
A shop takes £127 on Monday and £395 on Tuesday. How much does it take altogether?
£523A
£917B
£522C
£395D
£532E
6
Patterns
Here are the first three patterns in a sequence made from counters. How many counters are in Pattern 6?
Pattern 1Pattern 2Pattern 3
27A
15B
19C
24D
23E
7
Rounding
A car costs £24,837. Round this to the nearest £1,000.
£24,837A
£25,000B
£27,000C
£24,000D
£26,000E
8
Calculate
Hassan packs 40 eggs into boxes of 5. How many boxes are filled?
13A
8B
7C
9D
32E
9
What is the same?
Select one way in which these numbers are alike.
4   25   49   144
They are all even numbers.A
They are all factors of 60.B
They can all be divided by 2 with no remainder.C
They are all square numbers.D
They are all less than 50.E
10
Place value
What is the value of the digit 5 in 503,316?
5A
500,000B
503,316C
5,000,000D
50,000E
11
Calculate
885 × 9 - 238 =
7,726A
7,737B
7,728C
7,717D
7,727E
12
Sequences: working backwards
The sequence 11, 14, 17, 20, … carries on with the same rule. Which term is equal to 68?
20A
68B
19C
21D
23E
13
Logic
Isla is thinking of a number. It is a two-digit number. It is an even number. It is a multiple of 5. What is the number?
56A
42B
28C
30D
34E
14
Calculate
518 + 654 + 331 =
1,502A
1,493B
1,834C
1,503D
1,513E

Section 2Fractions, Ratio & Proportion

Worked example
There are 15 tickets. 4/5 of them are sold. How many are sold?
12A
120B
3C
60D
17E
Answer A — 15 ÷ 5 × 4 = 12.
15
Compare fractions
Which fraction is the largest?
7/8A
1/4B
3/8C
1/2D
1/8E
16
Percentages
What percentage of this grid is shaded?
34%A
44%B
24%C
17%D
66%E
17
Proportion
Red paint and white paint are mixed in the ratio 7:3. If 14 ml of red paint is used, how much white paint is needed?
5 mlA
14 mlB
6 mlC
9 mlD
33 mlE
18
Fractions on a number line
What fraction is the arrow pointing to?
01
1/11A
10/1B
2/10C
1/10D
9/10E
19
Decimal calculations
11.1 + 8.4 =
195A
20.5B
19.5C
1.95D
19.4E
20
Compare fractions
Which fraction is the smallest?
7/8A
11/24B
1/12C
3/4D
3/8E
21
Percentages: finding the whole
5% of a number is 8. What is the number?
160A
16B
168C
0D
1600E
22
Sharing in a ratio
£77 is shared in the ratio 2:3:6. How much is the second share?
£7A
£42B
£32C
£19D
£21E
23
Multiply fractions
1/5 × 12 =
12A
1 2/5B
1/60C
2 3/5D
2 2/5E
24
Percentage change
Decrease 170 by 50%.
255A
102B
170C
85D
135E
25
Add & subtract fractions
3/5 - 2/5 =
7/25A
1/2B
1/5C
6/25D
4/25E
26
Ratio: working backwards
Boys and girls are in the ratio 5:6. There are 24 more girls than boys. How many boys are there?
120A
144B
96C
240D
24E

Section 3Geometry & Measures

Worked example
Convert 8 cm to mm.
80 cmA
80 mmB
90 mmC
70 mmD
8 mmE
Answer B — 8 cm = 80 mm.
27
Capacity
How much liquid is in the jug?
0100200300400500ml
100 mlA
400 lB
500 mlC
400 mlD
450 mlE
28
Area
The diagram shows a rectangular tile. Find its area.
9 cm3 cm
12 cm²A
54 cm²B
36 cm²C
27 cm²D
24 cm²E
29
Digital clocks
Which digital clock shows the time 45 minutes after the clock above?
123456789101112
6:20A
5:25B
5:20C
4:25D
5:50E
30
2D shapes
What is the name of this shape?
HeptagonA
PentagonB
OctagonC
TriangleD
QuadrilateralE
31
Estimating in real life
About how long is a new pencil?
180 cmA
18 mB
0.18 cmC
1.8 cmD
18 cmE
32
Fractions of shapes
What fraction of this shape is shaded?
5/6A
1/7B
1/3C
2/9D
6/7E
33
Measures: conversion
Convert 6.8 l to ml.
6800 mlA
68000 mlB
6810 mlC
6800 lD
6790 mlE
34
Volume
A carton is the shape of this cuboid. What is its volume?
8 cm9 cm6 cm
432 cm³A
23 cm³B
480 cm³C
216 cm³D
48 cm³E
35
Money
£1 is worth $1.25. How many dollars would you get for £15?
$12.00A
$15.00B
$19.30C
$19.75D
$18.75E
36
Area of a compound shape
The diagram shows a card. Find its area.
13 cm6 cm8 cm4 cm5 cm2 cm
68 cm²A
88 cm²B
32 cm²C
38 cm²D
10 cm²E
37
Timetable
How long does Bus 2 take to get from The Common to Station?
Bus 1Bus 2Bus 3Highfield09:0009:4010:00Market Square09:1009:5010:10The Common09:4510:2510:45Station10:2011:0011:20
35 minutesA
95 minutesB
40 minutesC
30 minutesD
25 minutesE
38
Transformations
The shaded shape is shown above. Which of these is not a translation of it?
A
B
C
D
E
39
Comparing measures
Which of these is the longest?
975 cmA
1.5 mB
3.7 mC
325 cmD
3 mE
40
Angles
How many 30° angles fit in a full turn?
30°
12A
14B
30C
13D
11E
41
Timetable
How long does Coach 3 take to get from Seaton to Airport?
Coach 1Coach 2Coach 3Seaton09:3010:1011:00Bramley09:5010:3011:20Kingsford10:0510:4511:35Airport10:4011:2012:10
10 minutesA
130 minutesB
65 minutesC
70 minutesD
100 minutesE
42
Volume: missing length
This cuboid has a volume of 150 cm³. Its base measures 5 cm by 6 cm. What is its height?
5 cm?6 cm
30 cmA
6 cmB
5 cmC
25 cmD
120 cmE

Section 4Data & Reasoning

Worked example
The scores of 5 games are:
7, 5, 12, 9, 5
What is the modal score?
4A
6B
8C
5D
12E
Answer D — 5 appears most often.
43
Median
The table shows the times of 5 runners.
Find the median time.
RunnerTime (seconds)Runner 111Runner 239Runner 319Runner 436Runner 532
11 secondsA
32 secondsB
39 secondsC
27 secondsD
33 secondsE
44
Bar chart
The bar chart shows the number of visitors to the museum. When was it highest?
02468MonTueWedThuFriVisitors
FriA
MonB
WedC
TueD
ThuE
45
Range
The table shows the scores of 5 games.
What is the range of the scores?
GameScoreGame 147Game 237Game 316Game 447Game 522
32A
30B
31C
63D
47E
46
Reading a graph
The graph shows the number of books borrowed. Between which two weeks did it rise the most?
048121620Week 1Week 2Week 3Week 4Week 5Week 6
Week 3 to Week 4A
Week 5 to Week 6B
Week 1 to Week 2C
Week 4 to Week 5D
Week 2 to Week 3E
47
Mean
The mean mass of 5 parcels is 15 kg. Four of the masses are:
13, 5, 1, 20
What is the fifth mass?
35 kgA
36 kgB
37 kgC
75 kgD
10 kgE
48
Pictogram
Each whole ⬤ represents 8. How many for Mon?
MonTueWedKey: ⬤ = 8
45A
48B
44C
52D
40E
49
Median
The masses of 7 parcels, in kilograms, are:
19, 25, 9, 38, 27, 4, 21
Find the median mass.
25 kgA
38 kgB
21 kgC
22 kgD
20 kgE
50
Two-way table
The table shows how children answered. One number is missing. How many Year 6 chose netball?
FootballNetballHockeyTotalYear 524391073Year 63?1844Total276228117
41A
73B
33C
62D
23E

Answer Sheet11+ Maths · Paper 5

Score
______ / 50
Name: School: Date:
Use a pencil. For each question, fill in one lozenge: the letter (A–E) of your chosen answer. Rub out mistakes fully.
Section 1
ABCDE
1ABCDE
2ABCDE
3ABCDE
4ABCDE
5ABCDE
6ABCDE
7ABCDE
8ABCDE
9ABCDE
10ABCDE
11ABCDE
12ABCDE
13ABCDE
14ABCDE
Section 2
ABCDE
15ABCDE
16ABCDE
17ABCDE
18ABCDE
19ABCDE
20ABCDE
21ABCDE
22ABCDE
23ABCDE
24ABCDE
25ABCDE
26ABCDE
Section 3
ABCDE
27ABCDE
28ABCDE
29ABCDE
30ABCDE
31ABCDE
32ABCDE
33ABCDE
34ABCDE
35ABCDE
36ABCDE
37ABCDE
38ABCDE
39ABCDE
40ABCDE
41ABCDE
42ABCDE
Section 4
ABCDE
43ABCDE
44ABCDE
45ABCDE
46ABCDE
47ABCDE
48ABCDE
49ABCDE
50ABCDE

Mark Scheme11+ Maths · Paper 5

Score out of 50
1A-9 − 5 = -14°C.
2D63 - 41 = 22.
3D872 = DCCCLXXII.
4B-4 − 4 = -8°C.
5C£127 + £395 = £522.
6EEach pattern adds 4 squares, so Pattern 6 has 23.
7B24,837 rounds to £25,000.
8B40 ÷ 5 = 8.
9DThey are all square numbers.
10BThe 5 is in the hundred thousands place → 500,000.
11E885 × 9 = 7,965, then 7,965 - 238 = 7,727.
12A(68 − 11) ÷ 3 = 19, so it is term 20.
13DThe number is 30.
14D518 + 654 = 1,172, then 1,172 + 331 = 1,503.
15A7/8 is the largest.
16A34 squares out of 100 = 34%.
17C14 ÷ 7 × 3 = 6 ml.
18D1 of 10 equal steps = 1/10.
19C11.1 + 8.4 = 19.5.
20C1/12 is the smallest.
21A8 ÷ 5 × 100 = 160.
22E£77 ÷ 11 × 3 = £21.
23E(1 × 12)/5 = 12/5 = 2 2/5
24D50% of 170 = 85; 170 − 85 = 85.
25C3/5 - 2/5 = 1/5.
26A6−5 = 1 parts = 24, so 1 part = 24; answer 120.
27D400 ml.
28D9×3 = 27 cm².
29C5:20.
30B5 sides → Pentagon.
31EA new pencil is about 18 cm.
32A5 of 6 shaded = 5/6.
33A6.8 l = 6800 ml.
34A8 × 6 × 9 = 432 cm³.
35E£15 × 1.25 = $18.75.
36A13×6 − 5×2 = 68 cm².
37A10:25 to 11:00 is 35 minutes.
38BA translation slides a shape without turning or flipping it. Four of these are slides; one is a mirror image.
39A975 cm is the longest.
40A360 ÷ 30 = 12.
41D11:00 to 12:10 is 70 minutes.
42C150 ÷ (5 × 6) = 5 cm.
43BMiddle value when sorted = 32.
44AFri is tallest.
45C47 − 16 = 31.
46EFrom Week 2 to Week 3 it rose by 14, the largest rise.
47B15 × 5 = 75; 75 − 39 = 36.
48C5.5 × 8 = 44.
49CMiddle value when sorted = 21.
50E44 − 3 − 18 = 23.