📄 Maths Paper 1 print pack: question paper · answer sheet · mark scheme

11+ MathsPractice Paper 1 · 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
What is the value of the digit 6 in 8,416?
7A
6B
8,416C
60D
1E
Answer B — The 6 is in the units place → 6.
1
Negative numbers
The thermometer shows a temperature of -7°C. It rises by 6°C. What is the new temperature?
-15-10-5051015°C
-7°CA
1°CB
0°CC
7°CD
-1°CE
2
Calculate
Ruby has saved £98 and is given £65 more. How much is saved now?
£163A
£162B
£164C
£153D
£65E
3
Roman numerals
Write 29 in Roman numerals.
XXXIVA
XXIVB
XXXIXC
XXIXD
XXXE
4
Negative numbers
The thermometer shows a temperature of -3°C. It falls by 18°C. What is the new temperature?
-25-20-15-10-5051015°C
-22°CA
-3°CB
-19°CC
3°CD
-21°CE
5
Calculate
A train has 145 passengers. At the next stop 362 more get on. How many passengers are there now?
869A
362B
507C
517D
506E
6
Patterns
Here are the first three patterns in a sequence made from stickers. How many stickers are in Pattern 8?
Pattern 1Pattern 2Pattern 3
32A
27B
31C
15D
35E
7
Ordering
Which of these is the smallest?
28373A
72338B
73832C
72833D
82337E
8
Calculate
205 + 326 + 830 =
1,351A
1,361B
2,191C
1,362D
1,360E
9
Lowest common multiple
What is the lowest common multiple (LCM) of 15 and 25?
75A
375B
150C
25D
37E
10
Place value
What is the value of the digit 4 in 229,461?
40A
4,000B
229,461C
100D
400E
11
Missing number
✳ stands for a number.
189 ÷ ✳ = 21
What number does ✳ stand for?
8A
21B
18C
9D
19E
12
Sequences
What comes next? 4, 9, 16, 25, …
35A
36B
49C
37D
34E
13
Two-step problem
A stall has 480 seats. 1/4 of them are booked online. Then 20% of the remaining seats are sold at the door. How many seats are still empty?
360A
120B
96C
288D
192E
14
Missing number
â–³ stands for a number.
â–³ + 15 = 408
What number does â–³ stand for?
392A
394B
408C
393D
197E

Section 2Fractions, Ratio & Proportion

Worked example
What fraction is the arrow pointing to?
01
3/4A
3/8B
1/5C
1/4D
2/9E
Answer D — 2 of 8 equal steps = 1/4.
15
Fractions on a number line
What fraction is the arrow pointing to?
01
1/2A
5/8B
8/4C
2/5D
4/9E
16
Fractions, decimals & %
Write 0.25 as a percentage.
50%A
10%B
30%C
40%D
25%E
17
Sharing in a ratio
Share 84 in the ratio 4:3. How much is the first share?
36A
48B
42C
55D
12E
18
Fractions on a number line
What fraction is the arrow pointing to?
01
2/3A
1/5B
1/4C
1/3D
3/1E
19
Decimal calculations
49.3 - 12.6 =
37.7A
36.6B
36.7C
367D
62E
20
Compare fractions
Which fraction is the largest?
3/10A
7/10B
1/4C
1/2D
4/5E
21
Percentages: finding the whole
10% of a number is 22. What is the number?
2200A
242B
198C
22D
220E
22
Sharing in a ratio
£40 is shared in the ratio 3:3:2. How much is the third share?
£5A
£18B
£10C
£9D
£15E
23
Equivalent fractions
What number goes in the box?
4/5  =  â–¢/45
45A
9B
4C
36D
37E
24
Percentages: finding the whole
5% of a number is 2. What is the number?
400A
2B
40C
0D
38E
25
Equivalent fractions
What number goes in the box?
3/4  =  â–¢/24
19A
17B
6C
24D
18E
26
Ratio: working backwards
Boys and girls are in the ratio 3:5. There are 44 more girls than boys. How many girls are there?
66A
88B
44C
176D
110E

Section 3Geometry & Measures

Worked example
Which digital clock shows the time 30 minutes after the clock above?
123456789101112
12:40A
11:10B
12:10C
2:00D
12:15E
Answer C — 12:10.
27
Money
£1 is worth $1.20. How many dollars would you get for £26?
$21.67A
$32.20B
$30.20C
$31.20D
$31.70E
28
Area
The diagram shows a rectangular photograph. Find its area.
7 cm4 cm
28 cm²A
11 cm²B
24 cm²C
22 cm²D
35 cm²E
29
Measures: conversion
Convert 20 kg to g.
20000 gA
19990 gB
2000 gC
20010 gD
20000 kgE
30
Transformations
The shaded shape is shown above. Which of these is not a translation of it?
A
B
C
D
E
31
Estimating in real life
About how heavy is a bag of sugar?
10 kgA
0.1 kgB
1 tC
1 kgD
0.01 kgE
32
Fractions of shapes
What fraction of this shape is shaded?
1/2A
1/9B
1/4C
3/5D
7/9E
33
Digital clocks
Which digital clock shows the time 30 minutes after the clock above?
123456789101112
7:15A
3:40B
8:45C
8:10D
8:15E
34
2D shapes
What is the name of this shape?
TriangleA
HeptagonB
PentagonC
QuadrilateralD
OctagonE
35
Rate
A coach travels 45 km in 30 minutes. At the same speed, how many minutes does it take to travel 90 km?
90 minutesA
30 minutesB
60 minutesC
75 minutesD
0.67 minutesE
36
Area of a compound shape
The diagram shows a patio. Find its area.
8 cm5 cm3 cm3 cm5 cm2 cm
40 m²A
26 m²B
50 m²C
30 m²D
20 m²E
37
Capacity
How much liquid is in the jug?
0100200300400500ml
400 mlA
200 mlB
350 mlC
300 lD
300 mlE
38
Coordinates: reflection
Point P is reflected in the x-axis. What are the coordinates of its image?
O-5-4-3-2-112345-5-4-3-2-112345P
(-5 , 1)A
(1 , -5)B
(-1 , -5)C
(-1 , 5)D
(1 , 5)E
39
Timetable
How long does Coach 1 take to get from Kingsford to Airport?
Coach 1Coach 2Coach 3Seaton08:1508:4009:20Bramley08:2508:5009:30Kingsford09:0009:2510:05Airport09:1509:4010:20
45 minutesA
10 minutesB
15 minutesC
75 minutesD
25 minutesE
40
Angles
How many 36° angles fit in a full turn?
36°
9A
10B
36C
12D
11E
41
Measures: conversion
Convert 33.5 cm to mm.
335 mmA
335 cmB
33.5 mmC
345 mmD
325 mmE
42
Volume: missing length
This cuboid has a volume of 98 cm³. Its base measures 7 cm by 2 cm. What is its height?
7 cm?2 cm
98 cmA
14 cmB
7 cmC
84 cmD
49 cmE

Section 4Data & Reasoning

Worked example
The table shows the masses of 5 parcels.
Find the median mass.
ParcelMass (kg)Parcel 116Parcel 238Parcel 324Parcel 429Parcel 540
40 kgA
30 kgB
38 kgC
29 kgD
16 kgE
Answer D — Middle value when sorted = 29.
43
Range
The table shows the scores of 4 games.
What is the range of the scores?
GameScoreGame 113Game 224Game 313Game 417
11A
37B
13C
12D
10E
44
Pictogram
The table shows how many raffle tickets were sold. How many did Class 1 sell?
ClassNumber soldClass 1Class 2Class 3Class 4Each ⬤ = 10
1A
10B
20C
5D
11E
45
Mean
The table shows the marks of 5 pupils.
Find the mean mark.
PupilMarkPupil 110Pupil 215Pupil 32Pupil 419Pupil 54
9A
13B
50C
19D
10E
46
Bar chart
The bar chart shows the number of books borrowed. What is the total?
0481216JanFebMarAprBooks
40A
39B
45C
38D
15E
47
Median
The table shows the marks of 7 pupils.
Find the median mark.
PupilMarkPupil 137Pupil 219Pupil 314Pupil 432Pupil 538Pupil 637Pupil 78
8A
38B
37C
32D
33E
48
Two-way table
The table shows how people answered. One number is missing. How many adults chose tea?
TeaCoffeeJuiceTotalAdults?3512Children2716548Total31191060
4A
48B
27C
9D
7E
49
Mean
The marks of 5 pupils are:
29, 5, 2, 8, 16
Find the mean mark.
29A
13B
11C
12D
60E
50
Bar chart
The bar chart shows the rainfall. What is the total?
0481216Week 1Week 2Week 3Week 4mm
34 mmA
36 mmB
33 mmC
35 mmD
16 mmE

Answer Sheet11+ Maths · Paper 1

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 1

Score out of 50
1E-7 + 6 = -1°C.
2A£98 + £65 = £163.
3D29 = XXIX.
4E-3 − 18 = -21°C.
5C145 + 362 = 507.
6CEach pattern adds 4 squares, so Pattern 8 has 31.
7A28373 is the smallest.
8B205 + 326 = 531, then 531 + 830 = 1,361.
9ALCM of 15 and 25 is 75.
10EThe 4 is in the hundreds place → 400.
11D189 ÷ 9 = 21, so ✳ = 9.
12BSquare numbers.
13D480 − 120 = 360; 20% of 360 = 72; 360 − 72 = 288.
14D393 + 15 = 408, so â–³ = 393.
15A4 of 8 equal steps = 1/2.
16E0.25 = 25%.
17B84 ÷ 7 × 4 = 48.
18D1 of 3 equal steps = 1/3.
19C49.3 - 12.6 = 36.7.
20E4/5 is the largest.
21E22 ÷ 10 × 100 = 220.
22C£40 ÷ 8 × 2 = £10.
23D5 × 9 = 45, so 4 × 9 = 36.
24C2 ÷ 5 × 100 = 40.
25E4 × 6 = 24, so 3 × 6 = 18.
26E5−3 = 2 parts = 44, so 1 part = 22; answer 110.
27D£26 × 1.2 = $31.20.
28A7×4 = 28 cm².
29A20 kg = 20000 g.
30CA translation slides a shape without turning or flipping it. Four of these are slides; one is a mirror image.
31DA bag of sugar is about 1 kg.
32C2 of 8 shaded = 1/4.
33E8:15.
34A3 sides → Triangle.
35C30 ÷ 45 × 90 = 60 minutes.
36D8×5 − 5×2 = 30 cm².
37E300 ml.
38EReflecting in the x-axis gives (1 , 5).
39C09:00 to 09:15 is 15 minutes.
40B360 ÷ 36 = 10.
41A33.5 cm = 335 mm.
42C98 ÷ (7 × 2) = 7 cm.
43A24 − 13 = 11.
44B1 × 10 = 10.
45E50 ÷ 5 = 10.
46BTotal = 39.
47DMiddle value when sorted = 32.
48A12 − 3 − 5 = 4.
49D60 ÷ 5 = 12.
50ATotal = 34 mm.