📄 Maths Paper 4 print pack: question paper · answer sheet · mark scheme

11+ MathsPractice Paper 4 · 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 9 in 1,798?
90A
9B
10C
1,798D
900E
Answer A — The 9 is in the tens place → 90.
1
Negative numbers
The thermometer shows a temperature of -12°C. It falls by 19°C. What is the new temperature?
-35-30-25-20-15-10-5051015°C
-30°CA
-31°CB
-32°CC
-33°CD
12°CE
2
Calculate
Finn has 91 stickers and is given 91 more. How many stickers are there now?
182A
273B
172C
91D
183E
3
Roman numerals
What number is CXLIX in Roman numerals?
149A
159B
249C
139D
148E
4
Negative numbers
The thermometer shows a temperature of -11°C. It rises by 8°C. What is the new temperature?
-15-10-5051015°C
-4°CA
-3°CB
-11°CC
-2°CD
11°CE
5
Calculate
194 + 228 =
422A
228B
423C
412D
650E
6
Patterns
Here are the first three patterns in a sequence made from paving slabs. How many paving slabs are in Pattern 6?
Pattern 1Pattern 2Pattern 3
14A
18B
23C
20D
21E
7
Place value
What is the value of the digit 3 in 43,811?
30,000A
3B
300C
3,000D
1,000E
8
Calculate
73 + 29 + 224 =
336A
327B
316C
550D
326E
9
Factors
Which of these is a factor of 24?
10A
7B
11C
8D
9E
10
Rounding
Round 15.99 to 1 decimal place.
15.9A
16.2B
15.99C
16.1D
16.0E
11
Missing number
â—‹ stands for a number.
399 + â—‹ = 587
What number does â—‹ stand for?
188A
94B
587C
187D
189E
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
19A
34B
44C
40D
39E
13
Logic
Isla is thinking of a number. It is a two-digit number. It is a multiple of 4. It is an even number. What is the number?
78A
10B
50C
44D
66E
14
Calculate
A shop takes £604 on Monday and £516 on Tuesday. How much does it take altogether?
£1,130A
£1,121B
£1,110C
£1,636D
£1,120E

Section 2Fractions, Ratio & Proportion

Worked example
Which fraction is equivalent to 2/3?
1/4A
8/12B
5/11C
3/4D
1/2E
Answer B — 2/3 = 8/12 (×4).
15
Fractions on a number line
What fraction is the arrow pointing to?
01
1/7A
1/6B
5/6C
1/8D
2/6E
16
Fractions, decimals & %
Write 20% as a fraction.
1/20A
1/5B
1/10C
3/4D
1/2E
17
Sharing in a ratio
£168 is shared between Ella and Isla in the ratio 4:3. How much does Isla get?
£63A
£24B
£96C
£72D
£79E
18
Fractions on a number line
What fraction is the arrow pointing to?
01
7/13A
8/13B
12/7C
7/12D
1/2E
19
Percentage change
A sofa costs £520. In a sale the price is reduced by 20%. What is the new price?
£520A
£416B
£468C
£104D
£624E
20
Equivalent fractions
Which fraction is equivalent to 1/4?
2/4A
7/8B
5/20C
5/11D
1/3E
21
Percentage change
A sofa costs £740. In a sale the price is increased by 50%. What is the new price?
£1110A
£1160B
£370C
£740D
£1184E
22
Sharing in a ratio
£143 is shared in the ratio 5:2:6. How much is the first share?
£66A
£88B
£11C
£51D
£55E
23
Fractions: finding the whole
1/3 of a number is 9. What is the number?
12A
9B
3C
27D
18E
24
Percentage change
A bicycle costs £420. In a sale the price is increased by 25%. What is the new price?
£567A
£550B
£525C
£315D
£420E
25
Multiply fractions
1/6 × 12 =
12A
1/72B
1C
2 1/6D
2E
26
Proportion
5 oranges cost £0.50. How much do 8 oranges cost?
£0.50A
£0.06B
£0.90C
£0.70D
£0.80E

Section 3Geometry & Measures

Worked example
Convert 12 kg to g.
1200 gA
12000 kgB
12000 gC
11990 gD
120000 gE
Answer C — 12 kg = 12000 g.
27
Money
£1 is worth €1.20. How many euros would you get for £3?
€3.60A
€4.10B
€3.00C
€2.50D
€2.60E
28
2D shapes
What is the name of this shape?
TriangleA
HexagonB
PentagonC
HeptagonD
SquareE
29
Estimating in real life
About how wide is a front door?
80 cmA
8 cmB
80 kmC
800 cmD
80 mE
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?
02004006008001000ml
800 mlA
600 lB
400 mlC
600 mlD
700 mlE
32
Fractions of shapes
What fraction of this shape is shaded?
3/7A
5/7B
1/2C
3/5D
2/5E
33
Time
What time is shown on the clock?
123456789101112
7:15A
8:10B
7:40C
7:10D
7:05E
34
Area
The diagram shows a rectangular postcard. Find its area.
3 cm13 cm
78 cm²A
32 cm²B
16 cm²C
39 cm²D
42 cm²E
35
Money
A toy costs £1.24. How much change from £5.00?
£3.66A
£6.24B
£4.26C
£3.76D
£4.76E
36
Area of a compound shape
The diagram shows a patio. Find its area.
10 cm11 cm6 cm6 cm4 cm5 cm
130 m²A
110 m²B
42 m²C
90 m²D
70 m²E
37
Rate
A coach travels 15 km in 20 minutes. At the same speed, how many minutes does it take to travel 90 km?
90 minutesA
100 minutesB
140 minutesC
20 minutesD
120 minutesE
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
(2 , 4)A
(2 , -4)B
(-2 , 4)C
(-4 , -2)D
(-2 , -4)E
39
Comparing measures
Which of these is the longest?
65 cmA
7 mB
1.9 mC
2400 mmD
175 cmE
40
Angles
Two angles in this triangle are 15° and 40°. What is the third angle?
15°40°?
115°A
55°B
165°C
305°D
125°E
41
Rate
A coach travels 15 km in 15 minutes. At the same speed, how many minutes does it take to travel 75 km?
15 minutesA
1 minutesB
90 minutesC
75 minutesD
60 minutesE
42
Volume: missing length
This cuboid has a volume of 168 cm³. Its base measures 6 cm by 4 cm. What is its height?
6 cm?4 cm
42 cmA
168 cmB
24 cmC
7 cmD
8 cmE

Section 4Data & Reasoning

Worked example
The table shows the marks of 5 pupils.
What is the modal mark?
PupilMarkPupil 12Pupil 212Pupil 33Pupil 42Pupil 510
12A
1B
2C
3D
6E
Answer C — 2 appears most often.
43
Range
The table shows the marks of 4 pupils.
What is the range of the marks?
PupilMarkPupil 123Pupil 221Pupil 325Pupil 420
20A
5B
45C
4D
6E
44
Pictogram
Each ⬤ represents 5. How many for Tue?
MonTueWedKey: ⬤ = 5
25A
60B
11C
6D
30E
45
Mode
The table shows the masses of 6 parcels.
What is the modal mass?
ParcelMass (kg)Parcel 14Parcel 24Parcel 35Parcel 46Parcel 510Parcel 62
4 kgA
5 kgB
3 kgC
2 kgD
10 kgE
46
Pictogram
The table shows how many items were sold. How many did Cakes sell?
StallNumber soldCakesBooksToysPlantsEach ⬤ = 4
4A
1B
5C
2D
8E
47
Range
The heights of 5 sunflowers, in centimetres, are:
36, 66, 34, 20, 28
What is the range of the heights?
86 cmA
45 cmB
46 cmC
20 cmD
66 cmE
48
Pictogram
Each whole ⬤ represents 8. How many for Class 1?
Class 1Class 2Class 3Key: ⬤ = 8
40A
32B
37C
44D
36E
49
Mean
The table shows the marks of 5 pupils.
Find the mean mark.
PupilMarkPupil 11Pupil 24Pupil 310Pupil 421Pupil 519
10A
11B
55C
14D
21E
50
Bar chart
The bar chart shows the number of books borrowed. What is the total?
04812Week 1Week 2Week 3Week 4Books
33A
34B
12C
32D
31E

Answer Sheet11+ Maths · Paper 4

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 4

Score out of 50
1B-12 − 19 = -31°C.
2A91 + 91 = 182.
3ACXLIX = 149.
4B-11 + 8 = -3°C.
5A194 + 228 = 422.
6DEach pattern adds 3 squares, so Pattern 6 has 20.
7DThe 3 is in the thousands place → 3,000.
8E73 + 29 = 102, then 102 + 224 = 326.
9D8 divides 24 exactly.
10E15.99 ≈ 16.0
11A399 + 188 = 587, so â—‹ = 188.
12EEach pattern adds 5 squares, so Pattern 8 has 39.
13DThe number is 44.
14E£604 + £516 = £1,120.
15B1 of 6 equal steps = 1/6.
16B20% = 1/5.
17D168 ÷ 7 × 3 = 72.
18D7 of 12 equal steps = 7/12.
19B20% of £520 = £104; £520 − £104 = £416.
20C1/4 = 5/20 (×5).
21A50% of £740 = £370; £740 + £370 = £1110.
22E£143 ÷ 13 × 5 = £55.
23D9 is 1/3 of the number, so the number is 9 × 3 = 27.
24C25% of £420 = £105; £420 + £105 = £525.
25E(1 × 12)/6 = 12/6 = 2
26E£0.50 ÷ 5 × 8 = £0.80.
27A£3 × 1.2 = €3.60.
28E4 sides → Square.
29AA front door is about 80 cm.
30BA translation slides a shape without turning or flipping it. Four of these are slides; one is a mirror image.
31D600 ml.
32C2 of 4 shaded = 1/2.
33D7:10.
34D3×13 = 39 cm².
35D£5 − £1.24 = £3.76.
36D10×11 − 4×5 = 90 cm².
37E20 ÷ 15 × 90 = 120 minutes.
38CReflecting in the x-axis gives (-2 , 4).
39B7 m is the longest.
40E180° − 15° − 40° = 125°.
41D15 ÷ 15 × 75 = 75 minutes.
42D168 ÷ (6 × 4) = 7 cm.
43B25 − 20 = 5.
44E6 × 5 = 30.
45A4 appears most often.
46A1 × 4 = 4.
47C66 − 20 = 46.
48E4.5 × 8 = 36.
49B55 ÷ 5 = 11.
50DTotal = 32.