📄 Maths Paper 3 print pack: question paper · answer sheet · mark scheme

11+ MathsPractice Paper 3 · 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 number is XIV in Roman numerals?
15A
114B
13C
14D
4E
Answer D — XIV = 14.
1
Negative numbers
The thermometer shows a temperature of -11°C. It falls by 13°C. What is the new temperature?
-25-20-15-10-5051015°C
-22°CA
-26°CB
-25°CC
11°CD
-24°CE
2
Calculate
Hassan has 42 stickers and is given 41 more. How many stickers are there now?
124A
41B
73C
82D
83E
3
Factors
Which of these is a factor of 30?
4A
5B
9C
8D
7E
4
Ordering
Which of these is the smallest?
52201A
15202B
50122C
20512D
22501E
5
Missing number
✳ stands for a number.
✳ - 10 = 2
What number does ✳ stand for?
6A
2B
22C
12D
13E
6
Sequences
What comes next? 9, 16, 25, 36, …
49A
36B
48C
50D
47E
7
Rounding
A stadium holds 91,284 people. Round this to the nearest 1,000.
91,284A
92,000B
93,000C
90,000D
91,000E
8
Calculate
Sam scored 745 points in the first round and 268 points in the second. How many points altogether?
1,013A
1,023B
1,281C
268D
1,003E
9
Highest common factor
What is the highest common factor (HCF) of 25 and 55?
25A
5B
10C
275D
80E
10
Roman numerals
Write 25 in Roman numerals.
XVA
XXB
XXXVC
XXXD
XXVE
11
Calculate
359 + 758 - 327 =
800A
780B
789C
790D
1,117E
12
Patterns
Here are the first three patterns in a sequence made from tiles. How many tiles are in Pattern 8?
Pattern 1Pattern 2Pattern 3
27A
23B
26C
24D
29E
13
Working out the saving
It costs £5.00 each time to climb at the climbing wall. A member card costs £12.00, and then each climb costs only £3.00. How many times must you climb to get the cost of the card back?
6A
5B
12C
7D
2.4E
14
Calculate
Ruby has saved £385 and is given £380 more. How much is saved now?
£764A
£766B
£1,145C
£765D
£775E

Section 2Fractions, Ratio & Proportion

Worked example
What fraction is the arrow pointing to?
01
1/3A
2/3B
2/5C
3/2D
3/3E
Answer B — 2 of 3 equal steps = 2/3.
15
Fractions on a number line
What fraction is the arrow pointing to?
01
8/7A
7/8B
1/8C
7/10D
8/8E
16
Percentages
What percentage of this grid is shaded?
2%A
1.2%B
22%C
11%D
12%E
17
Proportion
3 apples cost £0.60. How much do 9 apples cost?
£0.07A
£1.60B
£2.00C
£1.80D
£0.60E
18
Multiply fractions
5/6 × 4 =
3 1/2A
1 1/2B
5/24C
2 1/3D
3 1/3E
19
Percentage change
Decrease 30 by 50%.
65A
30B
15C
18D
45E
20
Equivalent fractions
Which fraction is equivalent to 1/3?
1/2A
2/5B
2/6C
4/7D
4/5E
21
Percentages: finding the whole
15% of a number is 12. What is the number?
92A
8B
800C
2D
80E
22
Sharing in a ratio
£33 is shared in the ratio 3:6:2. How much is the third share?
£6A
£27B
£17C
£9D
£18E
23
Fractions on a number line
What fraction is the arrow pointing to?
01
3/11A
1/4B
4/11C
3/10D
10/3E
24
Percentages: finding the whole
25% of a number is 110. What is the number?
44A
28B
440C
330D
110E
25
Fractions: finding the whole
2/3 of a number is 26. What is the number?
13A
52B
17C
26D
39E
26
Ratio: working backwards
Boys and girls are in the ratio 3:7. There are 112 more girls than boys. How many boys are there?
280A
28B
112C
168D
84E

Section 3Geometry & Measures

Worked example
£1 is worth €1.25. How many euros would you get for £14?
€11.20A
€18.00B
€16.50C
€18.50D
€17.50E
Answer E — £14 × 1.25 = €17.50.
27
Time
What time is shown on the clock?
123456789101112
1:55A
1:00B
1:30C
1:05D
2:00E
28
Area
The diagram shows a rectangular garden. Find its area.
4 m3 m
14 m²A
24 m²B
7 m²C
12 m²D
9 m²E
29
Digital clocks
Which digital clock shows the time 10 minutes after the clock above?
123456789101112
12:50A
12:55B
11:50C
12:20D
1:50E
30
Fractions of shapes
What fraction of this shape is shaded?
3/8A
1/6B
7/9C
1/2D
2/11E
31
Time
How long is it between 11:40 and 12:25?
105 minutesA
45 minutesB
15 minutesC
40 minutesD
55 minutesE
32
Transformations
The shaded shape is shown above. Which of these is not a translation of it?
A
B
C
D
E
33
Capacity
How much liquid is in the jug?
050100150200250ml
150 mlA
100 mlB
175 mlC
250 mlD
200 mlE
34
2D shapes
Which of these shapes is not a quadrilateral?
A
B
C
D
E
35
Money
3 pens cost £1.31 each. What is the total cost?
£4.31A
£3.43B
£4.93C
£1.31D
£3.93E
36
2D shapes
What is the name of this shape?
TriangleA
HexagonB
PentagonC
HeptagonD
OctagonE
37
Timetable
How long does Train B take to get from Oakwood to Central?
Train ATrain BTrain CRedhill14:2015:0015:20Oakwood14:4515:2515:45Fairmead15:1515:5516:15Central15:4016:2016:40
60 minutesA
50 minutesB
5 minutesC
85 minutesD
55 minutesE
38
Coordinates: fourth corner
Three corners of a rectangle are shown. What are the coordinates of the fourth corner?
0123456123456
(4 , 5)A
(3 , 1)B
(5 , 4)C
(5 , 1)D
(5 , 3)E
39
Timetable
How long does Bus 1 take to get from Market Square to Station?
Bus 1Bus 2Bus 3Highfield16:5017:3018:10Market Square17:2518:0518:45The Common17:5518:3519:15Station18:2519:0519:45
55 minutesA
75 minutesB
60 minutesC
65 minutesD
90 minutesE
40
Angles
Two angles in this triangle are 75° and 85°. What is the third angle?
75°85°?
30°A
105°B
20°C
160°D
200°E
41
Comparing measures
Which of these is the shortest?
0.15 mA
150 cmB
575 cmC
0.7 mD
13 mE
42
Surface area
A carton is the shape of this cuboid. What is its total surface area?
7 cm5 cm11 cm
92 cm²A
167 cm²B
770 cm²C
488 cm²D
334 cm²E

Section 4Data & Reasoning

Worked example
The table shows the temperatures of 4 days.
What is the range of the temperatures?
DayTemperature (°C)Day 112Day 23Day 313Day 429
26°CA
29°CB
3°CC
32°CD
25°CE
Answer A — 29 − 3 = 26.
43
Mean
The masses of 4 parcels, in kilograms, are:
4, 17, 25, 10
Find the mean mass.
19 kgA
15 kgB
14 kgC
56 kgD
13 kgE
44
Bar chart
The bar chart shows the number of visitors to the museum. What is the total?
02468JanFebMarAprVisitors
7A
14B
15C
13D
12E
45
Mean
The table shows the masses of 5 parcels.
Find the mean mass.
ParcelMass (kg)Parcel 18Parcel 23Parcel 317Parcel 420Parcel 517
20 kgA
14 kgB
13 kgC
65 kgD
16 kgE
46
Reading a graph
The graph shows the temperature at midday. Between which two days did it rise the most?
048121620MonTueWedThuFriSat
Mon to TueA
Wed to ThuB
Fri to SatC
Tue to WedD
Thu to FriE
47
Mean
The masses of 5 parcels, in kilograms, are:
11, 5, 7, 20, 7
Find the mean mass.
10 kgA
11 kgB
13 kgC
9 kgD
50 kgE
48
Bar chart
The bar chart shows the mass of a puppy. When was it highest?
0481216MonTueWedThuFrikg
MonA
FriB
ThuC
TueD
WedE
49
Range
The table shows the times of 5 runners.
What is the range of the times?
RunnerTime (seconds)Runner 164Runner 221Runner 318Runner 436Runner 511
53 secondsA
64 secondsB
52 secondsC
11 secondsD
75 secondsE
50
Two-way table
The table shows how pupils answered. One number is missing. How many girls chose bus?
BusWalkingCyclingTotalBoys39222081Girls?222657Total484446138
31A
57B
81C
9D
35E

Answer Sheet11+ Maths · Paper 3

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 3

Score out of 50
1E-11 − 13 = -24°C.
2E42 + 41 = 83.
3B5 divides 30 exactly.
4B15202 is the smallest.
5D12 - 10 = 2, so ✳ = 12.
6ASquare numbers.
7E91,284 rounds to 91,000.
8A745 + 268 = 1,013.
9B25 = 5×5, 55 = 5×11 → HCF 5.
10E25 = XXV.
11D359 + 758 = 1,117, then 1,117 - 327 = 790.
12CEach pattern adds 3 squares, so Pattern 8 has 26.
13ASaving each time is £5.00 − £3.00 = £2.00. £12.00 ÷ £2.00 = 6.
14D£385 + £380 = £765.
15B7 of 8 equal steps = 7/8.
16E12 squares out of 100 = 12%.
17D£0.60 ÷ 3 × 9 = £1.80.
18E(5 × 4)/6 = 20/6 = 3 1/3
19C50% of 30 = 15; 30 − 15 = 15.
20C1/3 = 2/6 (×2).
21E12 ÷ 15 × 100 = 80.
22A£33 ÷ 11 × 2 = £6.
23D3 of 10 equal steps = 3/10.
24C110 ÷ 25 × 100 = 440.
25E26 ÷ 2 = 13, which is 1/3 of the number, so the number is 13 × 3 = 39.
26E7−3 = 4 parts = 112, so 1 part = 28; answer 84.
27B1:00.
28D4×3 = 12 m².
29A12:50.
30A3 of 8 shaded = 3/8.
31B45 minutes.
32CA translation slides a shape without turning or flipping it. Four of these are slides; one is a mirror image.
33A150 ml.
34BA quadrilateral has four sides. The circle does not.
35E3 × £1.31 = £3.93.
36B6 sides → Hexagon.
37E15:25 to 16:20 is 55 minutes.
38CFourth corner: (5 , 4).
39C17:25 to 18:25 is 60 minutes.
40C180° − 75° − 85° = 20°.
41A0.15 m is the shortest.
42E2×(7×11 + 11×5 + 7×5) = 334 cm².
43C56 ÷ 4 = 14.
44DTotal = 13.
45C65 ÷ 5 = 13.
46EFrom Thu to Fri it rose by 12, the largest rise.
47A50 ÷ 5 = 10.
48BFri is tallest.
49A64 − 11 = 53.
50D57 − 22 − 26 = 9.