📄 Maths Paper 6 print pack: question paper · answer sheet · mark scheme

11+ MathsPractice Paper 6 · 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
Which of these is the smallest?
325A
352B
532C
523D
235E
Answer E — 235 is the smallest.
1
Negative numbers
The thermometer shows a temperature of -6°C. It falls by 10°C. What is the new temperature?
-20-15-10-5051015°C
-17°CA
-16°CB
-6°CC
-15°CD
6°CE
2
Calculate
A train has 41 passengers. At the next stop 33 more get on. How many passengers are there now?
64A
33B
75C
107D
74E
3
Roman numerals
What number is CCXL in Roman numerals?
239A
250B
340C
241D
240E
4
Negative numbers
The thermometer shows a temperature of -11°C. It rises by 9°C. What is the new temperature?
-15-10-5051015°C
-4°CA
-3°CB
11°CC
-11°CD
-2°CE
5
Calculate
There are 340 apples in a crate. 296 are sold. How many apples remain?
340A
44B
34C
43D
296E
6
Patterns
Here are the first three patterns in a sequence made from paving slabs. How many paving slabs are in Pattern 7?
Pattern 1Pattern 2Pattern 3
27A
28B
31C
23D
15E
7
Place value
What is the value of the digit 6 in 69,842?
6,000A
600,000B
60,000C
6D
10,000E
8
Calculate
Hassan pays £207 for 9 identical tickets. How much is one ticket?
£184A
£33B
£32C
£23D
£22E
9
Lowest common multiple
What is the lowest common multiple (LCM) of 40 and 16?
40A
80B
160C
8D
640E
10
Negative numbers
The thermometer shows a temperature of -1°C. It rises by 20°C. What is the new temperature?
-15-10-505101520°C
19°CA
21°CB
17°CC
20°CD
1°CE
11
Calculate
80 ÷ 4 =
30A
19B
21C
20D
60E
12
Sequences: working backwards
The sequence 9, 18, 27, 36, … carries on with the same rule. Which term is equal to 144?
16A
17B
144C
25D
15E
13
Word problem
Omar is 3 times as old as Leo. Together their ages add up to 28. How old is Omar?
28A
9B
7C
21D
10E
14
Calculate
A shop takes £279 on Monday and £885 on Tuesday. How much does it take altogether?
£885A
£1,164B
£1,163C
£1,174D
£2,049E

Section 2Fractions, Ratio & Proportion

Worked example
Which fraction is the smallest?
1/4A
1/8B
3/4C
1/2D
3/8E
Answer B — 1/8 is the smallest.
15
Fractions on a number line
What fraction is the arrow pointing to?
01
1/2A
3/5B
2/5C
2/7D
2/6E
16
Percentages
What percentage of this grid is shaded?
95%A
43%B
86%C
85%D
84%E
17
Sharing in a ratio
£25 is shared between Isla and Zara in the ratio 3:2. How much does Isla get?
£20A
£15B
£5C
£13D
£10E
18
Fractions on a number line
What fraction is the arrow pointing to?
01
8/6A
7/9B
3/4C
3/5D
6/9E
19
Percentage change
A sofa costs £100. In a sale the price is increased by 25%. What is the new price?
£25A
£150B
£125C
£100D
£135E
20
Multiply fractions
1/4 × 3 =
1/4A
1/12B
3C
3/4D
1E
21
Percentage change
Decrease 70 by 50%.
85A
42B
105C
70D
35E
22
Ratio: working backwards
Boys and girls are in the ratio 4:5. There are 8 more girls than boys. How many are there altogether?
32A
40B
72C
8D
80E
23
Add & subtract fractions
3/4 - 3/8 =
1/2A
11/32B
3/8C
7/16D
0E
24
Percentage change
A coat costs £160. In a sale the price is reduced by 10%. What is the new price?
£16A
£144B
£160C
£176D
£154E
25
Fractions: finding the whole
2/3 of a number is 16. What is the number?
16A
8B
24C
11D
19E
26
Proportion
8 notebooks cost £4.80. How much do 2 notebooks cost?
£0.60A
£1.80B
£1.20C
£2.40D
£4.80E

Section 3Geometry & Measures

Worked example
How long is it between 10:00 and 10:30?
35 minutesA
90 minutesB
40 minutesC
30 minutesD
25 minutesE
Answer D — 30 minutes.
27
Time
How long is it between 11:55 and 12:10?
15 minutesA
45 minutesB
75 minutesC
25 minutesD
20 minutesE
28
Fractions of shapes
What fraction of this shape is shaded?
3/4A
2/3B
5/6C
7/8D
4/5E
29
Money
4 pens cost £3.22 each. What is the total cost?
£12.38A
£12.88B
£7.22C
£3.22D
£13.88E
30
Transformations
The shaded shape is shown above. Which of these is not a translation of it?
A
B
C
D
E
31
Capacity
How much liquid is in the jug?
04080120160200ml
180 mlA
160 mlB
40 mlC
120 mlD
200 mlE
32
2D shapes
What is the name of this shape?
HexagonA
TriangleB
OctagonC
PentagonD
HeptagonE
33
Time
How long is it between 09:15 and 10:00?
40 minutesA
105 minutesB
15 minutesC
50 minutesD
45 minutesE
34
Area
The diagram shows a rectangular garden. Find its area.
8 m2 m
16 m²A
24 m²B
14 m²C
10 m²D
32 m²E
35
Rate
A coach travels 40 km in 30 minutes. Travelling at the same speed, how far does it go in 90 minutes?
160 kmA
13 kmB
80 kmC
130 kmD
120 kmE
36
Area of a compound shape
The diagram shows a tile. Find its area.
13 cm9 cm7 cm6 cm6 cm3 cm
99 cm²A
44 cm²B
81 cm²C
18 cm²D
42 cm²E
37
Rate
A coach travels 20 km in 30 minutes. At the same speed, how many minutes does it take to travel 80 km?
90 minutesA
135 minutesB
150 minutesC
120 minutesD
80 minutesE
38
Coordinates: fourth corner
Three corners of a rectangle are shown. What are the coordinates of the fourth corner?
0123456123456
(6 , 2)A
(5 , 2)B
(3 , 2)C
(6 , 1)D
(6 , 3)E
39
Comparing measures
Which of these is the shortest?
0.25 mA
1600 mmB
30 cmC
290 cmD
1.4 mE
40
Angles
Two angles in this triangle are 75° and 40°. What is the third angle?
75°40°?
65°A
55°B
105°C
245°D
75°E
41
Measures: conversion
Convert 22.8 m to cm.
2280 cmA
22.8 cmB
2280 mC
2270 cmD
228 cmE
42
Surface area
A carton is the shape of this cuboid. What is its total surface area?
3 cm10 cm9 cm
540 cm²A
294 cm²B
270 cm²C
147 cm²D
88 cm²E

Section 4Data & Reasoning

Worked example
The table shows the masses of 5 parcels.
Find the median mass.
ParcelMass (kg)Parcel 124Parcel 239Parcel 332Parcel 410Parcel 534
34 kgA
10 kgB
32 kgC
28 kgD
39 kgE
Answer C — Middle value when sorted = 32.
43
Median
The table shows the marks of 5 pupils.
Find the median mark.
PupilMarkPupil 136Pupil 222Pupil 340Pupil 415Pupil 522
22A
40B
23C
15D
36E
44
Pictogram
Each ⬤ represents 5. How many for Class 1?
Class 1Class 2Class 3Key: ⬤ = 5
6A
11B
35C
60D
30E
45
Mode
The table shows the temperatures of 6 days.
What is the modal temperature?
DayTemperature (°C)Day 17Day 29Day 31Day 412Day 53Day 63
3°CA
12°CB
1°CC
6°CD
4°CE
46
Bar chart
The bar chart shows the number of tickets sold. How much more was it in Mar than in Feb?
0481216JanFebMarAprTickets
4A
2B
7C
5D
3E
47
Median
The masses of 7 parcels, in kilograms, are:
11, 19, 28, 16, 33, 4, 32
Find the median mass.
33 kgA
4 kgB
20 kgC
28 kgD
19 kgE
48
Two-way table
The table shows how pupils answered. One number is missing. How many girls chose bus?
BusWalkingCyclingTotalBoys255636Girls?232280Total602828116
25A
57B
60C
35D
45E
49
Mean
The table shows the masses of 5 parcels.
Find the mean mass.
ParcelMass (kg)Parcel 121Parcel 225Parcel 313Parcel 44Parcel 512
19 kgA
15 kgB
25 kgC
14 kgD
16 kgE
50
Reading a graph
The graph shows the number of visitors to the museum. Between which two days did it change the most?
048121620MonTueWedThuFriSat
Wed to ThuA
Tue to WedB
Thu to FriC
Mon to TueD
Fri to SatE

Answer Sheet11+ Maths · Paper 6

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 6

Score out of 50
1B-6 − 10 = -16°C.
2E41 + 33 = 74.
3ECCXL = 240.
4E-11 + 9 = -2°C.
5B340 - 296 = 44.
6AEach pattern adds 4 squares, so Pattern 7 has 27.
7CThe 6 is in the ten thousands place → 60,000.
8D£207 ÷ 9 = £23.
9BLCM of 40 and 16 is 80.
10A-1 + 20 = 19°C.
11D80 ÷ 4 = 20.
12A(144 − 9) ÷ 9 = 15, so it is term 16.
13D3+1 = 4 equal parts; 28 ÷ 4 = 7; answer 21.
14B£279 + £885 = £1,164.
15C2 of 5 equal steps = 2/5.
16D85 squares out of 100 = 85%.
17B25 ÷ 5 × 3 = 15.
18C6 of 8 equal steps = 3/4.
19C25% of £100 = £25; £100 + £25 = £125.
20D(1 × 3)/4 = 3/4 = 3/4
21E50% of 70 = 35; 70 − 35 = 35.
22C5−4 = 1 parts = 8, so 1 part = 8; answer 72.
23C3/4 - 3/8 = 3/8.
24B10% of £160 = £16; £160 − £16 = £144.
25C16 ÷ 2 = 8, which is 1/3 of the number, so the number is 8 × 3 = 24.
26C£4.80 ÷ 8 × 2 = £1.20.
27A15 minutes.
28B4 of 6 shaded = 2/3.
29B4 × £3.22 = £12.88.
30DA translation slides a shape without turning or flipping it. Four of these are slides; one is a mirror image.
31B160 ml.
32E7 sides → Heptagon.
33E45 minutes.
34A8×2 = 16 m².
35E40 ÷ 30 × 90 = 120 km.
36A13×9 − 6×3 = 99 cm².
37D30 ÷ 20 × 80 = 120 minutes.
38AFourth corner: (6 , 2).
39A0.25 m is the shortest.
40A180° − 75° − 40° = 65°.
41A22.8 m = 2280 cm.
42B2×(3×9 + 9×10 + 3×10) = 294 cm².
43AMiddle value when sorted = 22.
44E6 × 5 = 30.
45A3 appears most often.
46E5 − 2 = 3.
47EMiddle value when sorted = 19.
48D80 − 23 − 22 = 35.
49B75 ÷ 5 = 15.
50EFrom Fri to Sat it rose by 13, the largest change.