📄 Maths Paper 2 print pack: question paper · answer sheet · mark scheme

11+ MathsPractice Paper 2 · 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 XXVI in Roman numerals?
36A
27B
16C
26D
25E
Answer D — XXVI = 26.
1
Negative numbers
The thermometer shows a temperature of -12°C. It falls by 17°C. What is the new temperature?
-30-25-20-15-10-5051015°C
-12°CA
-31°CB
-29°CC
12°CD
-27°CE
2
Calculate
Omar has saved £49 and is given £39 more. How much is saved now?
£88A
£98B
£89C
£87D
£78E
3
Roman numerals
Write 39 in Roman numerals.
XXXIXA
XLB
XXXIVC
XLIXD
LXXXIXE
4
Negative numbers
The thermometer shows a temperature of -6°C. It rises by 20°C. What is the new temperature?
-15-10-5051015°C
14°CA
12°CB
16°CC
6°CD
13°CE
5
Calculate
224 - 71 =
224A
152B
143C
163D
153E
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
22A
24B
25C
13D
28E
7
Negative numbers
The thermometer shows a temperature of -3°C. It falls by 17°C. What is the new temperature?
-20-15-10-5051015°C
-19°CA
-22°CB
-20°CC
-18°CD
3°CE
8
Calculate
249 × 5 + 497 =
1,741A
1,743B
2,239C
1,742D
1,732E
9
Multiples
Which of these is a multiple of 12?
82A
93B
106C
50D
84E
10
Negative numbers
The thermometer shows a temperature of -7°C. It rises by 12°C. What is the new temperature?
-15-10-5051015°C
6°CA
5°CB
7°CC
4°CD
-7°CE
11
Calculate
£28 is shared equally between 4 children. How much does each child get?
£21A
£8B
£-3C
£11D
£7E
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
24A
23B
20C
11D
26E
13
Price list
A group of 2 seniors and 2 adults go to the museum. How much do they pay altogether?
TicketPriceAdult£8.50Child£4.25Senior£6.00
£35.00A
£20.50B
£14.50C
£29.00D
£28.50E
14
Calculate
752 + 327 - 412 =
666A
668B
677C
1,079D
667E

Section 2Fractions, Ratio & Proportion

Worked example
Which fraction is the smallest?
5/6A
1/2B
1/3C
1/6D
2/3E
Answer D — 1/6 is the smallest.
15
Equivalent fractions
What number goes in the box?
3/10  =  â–¢/40
11A
12B
3C
28D
7E
16
Fractions, decimals & %
Write 3/10 as a decimal.
0.75A
0.2B
0.5C
0.3D
0.05E
17
Proportion
Apples and pears are mixed in the ratio 7:2. If there are 42 apples, how many pears are needed?
12A
42B
147C
14D
37E
18
Fraction of an amount
What is 4/5 of 45?
9A
4B
41C
180D
36E
19
Percentage change
A bicycle costs £160. In a sale the price is reduced by 50%. What is the new price?
£240A
£160B
£130C
£80D
£96E
20
Compare fractions
Which fraction is the largest?
3/4A
1/6B
1/2C
5/12D
1/12E
21
Percentage change
A game costs £640. In a sale the price is increased by 50%. What is the new price?
£1024A
£960B
£1010C
£320D
£640E
22
Proportion
Apples and pears are mixed in the ratio 5:8. If there are 45 apples, how many pears are needed?
48A
80B
60C
28D
72E
23
Add & subtract fractions
2/3 - 1/3 =
1/2A
1/3B
4/9C
5/9D
2/9E
24
Percentages: finding the whole
75% of a number is 120. What is the number?
16A
40B
90C
1600D
160E
25
Fractions: finding the whole
1/3 of a number is 13. What is the number?
4A
20B
13C
39D
26E
26
Sharing in a ratio
£119 is shared in the ratio 1:3:3. How much is the second share?
£51A
£58B
£68C
£17D
£45E

Section 3Geometry & Measures

Worked example
About how long is a football pitch?
1000 mA
10000 mB
100 kmC
100 mD
100 cmE
Answer D — A football pitch is about 100 m.
27
Money
A toy costs £4.34. How much change from £5.00?
£1.16A
£4.34B
£0.56C
£1.66D
£0.66E
28
Area
The diagram shows a rectangular lawn. Find its area.
4 m4 m
16 m²A
8 m²B
20 m²C
12 m²D
32 m²E
29
Time
How long is it between 08:10 and 09:25?
15 minutesA
80 minutesB
135 minutesC
75 minutesD
70 minutesE
30
Fractions of shapes
What fraction of this shape is shaded?
1/2A
7/9B
5/7C
3/4D
1/3E
31
Digital clocks
Which digital clock shows the time 15 minutes after the clock above?
123456789101112
5:55A
5:00B
6:55C
5:50D
11:25E
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
200 mlA
200 lB
250 mlC
150 mlD
50 mlE
34
2D shapes
Which of these shapes is not a quadrilateral?
A
B
C
D
E
35
Timetable
How long does Train B take to get from Redhill to Oakwood?
Train ATrain BTrain CRedhill15:2016:1016:40Oakwood15:5516:4517:15Fairmead16:1017:0017:30Central16:3517:2517:55
95 minutesA
40 minutesB
35 minutesC
25 minutesD
65 minutesE
36
2D shapes
What is the name of this shape?
HexagonA
HeptagonB
OctagonC
TriangleD
PentagonE
37
Measures: conversion
Convert 37.3 km to m.
37310 mA
37300 mB
37290 mC
3730 mD
37.3 mE
38
Coordinates: fourth corner
Three corners of a rectangle are shown. What are the coordinates of the fourth corner?
0123456123456
(5 , 2)A
(2 , 5)B
(2 , 2)C
(5 , 1)D
(2 , 1)E
39
Timetable
How long does Coach 2 take to get from Seaton to Kingsford?
Coach 1Coach 2Coach 3Seaton16:1017:0017:30Bramley16:2017:1017:40Kingsford16:5517:4518:15Airport17:1518:0518:35
50 minutesA
45 minutesB
40 minutesC
75 minutesD
15 minutesE
40
Angles
How many 30° angles fit in a straight line?
30°
8A
5B
3C
6D
7E
41
Money
£1 is worth $1.10. How many dollars would you get for £26?
$29.60A
$28.60B
$23.64C
$26.00D
$29.10E
42
Surface area
A carton is the shape of this cuboid. What is its total surface area?
6 cm7 cm4 cm
68 cm²A
94 cm²B
188 cm²C
336 cm²D
168 cm²E

Section 4Data & Reasoning

Worked example
The table shows the scores of 4 games.
Find the mean score.
GameScoreGame 114Game 218Game 318Game 42
14A
17B
13C
18D
52E
Answer C — 52 ÷ 4 = 13.
43
Mode
The table shows the scores of 5 games.
What is the modal score?
GameScoreGame 15Game 22Game 38Game 45Game 512
5A
2B
4C
12D
6E
44
Bar chart
The bar chart shows the number of tickets sold. How much more was it in Week 2 than in Week 3?
02468Week 1Week 2Week 3Week 4Tickets
5A
8B
10C
6D
7E
45
Mode
The masses of 6 parcels, in kilograms, are:
6, 2, 6, 11, 9, 10
What is the modal mass?
7 kgA
2 kgB
11 kgC
6 kgD
5 kgE
46
Two-way table
The table shows how children answered. One number is missing. How many Year 5 chose hockey?
FootballNetballHockeyTotalYear 51716?44Year 634252281Total514133125
22A
27B
81C
11D
44E
47
Median
The scores of 7 games are:
37, 24, 34, 7, 14, 37, 20
Find the median score.
7A
37B
25C
24D
34E
48
Pictogram
Each whole ⬤ represents 10. How many for Class 3?
Class 1Class 2Class 3Key: ⬤ = 10
60A
110B
55C
65D
50E
49
Mean
The mean temperature of 5 days is 6°C. Four of the temperatures are:
1, 10, 6, 8
What is the fifth temperature?
5°CA
25°CB
30°CC
4°CD
6°CE
50
Reading a graph
The graph shows the temperature at midday. Between which two days did it change the most?
048121620MonTueWedThuFriSat
Thu to FriA
Tue to WedB
Wed to ThuC
Fri to SatD
Mon to TueE

Answer Sheet11+ Maths · Paper 2

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 2

Score out of 50
1C-12 − 17 = -29°C.
2A£49 + £39 = £88.
3A39 = XXXIX.
4A-6 + 20 = 14°C.
5E224 - 71 = 153.
6CEach pattern adds 3 squares, so Pattern 8 has 25.
7C-3 − 17 = -20°C.
8D249 × 5 = 1,245, then 1,245 + 497 = 1,742.
9E84 = 12 × 7.
10B-7 + 12 = 5°C.
11E£28 ÷ 4 = £7.
12BEach pattern adds 3 squares, so Pattern 8 has 23.
13D2 × £6.00 + 2 × £8.50 = £29.00.
14E752 + 327 = 1,079, then 1,079 - 412 = 667.
15B10 × 4 = 40, so 3 × 4 = 12.
16D3/10 = 0.3.
17A42 ÷ 7 × 2 = 12.
18E45 ÷ 5 × 4 = 36.
19D50% of £160 = £80; £160 − £80 = £80.
20A3/4 is the largest.
21B50% of £640 = £320; £640 + £320 = £960.
22E45 ÷ 5 × 8 = 72.
23B2/3 - 1/3 = 1/3.
24E120 ÷ 75 × 100 = 160.
25D13 is 1/3 of the number, so the number is 13 × 3 = 39.
26A£119 ÷ 7 × 3 = £51.
27E£5 − £4.34 = £0.66.
28A4×4 = 16 m².
29D75 minutes.
30E2 of 6 shaded = 1/3.
31A5:55.
32BA translation slides a shape without turning or flipping it. Four of these are slides; one is a mirror image.
33A200 ml.
34BA quadrilateral has four sides. The pentagon does not.
35C16:10 to 16:45 is 35 minutes.
36C8 sides → Octagon.
37B37.3 km = 37300 m.
38AFourth corner: (5 , 2).
39B17:00 to 17:45 is 45 minutes.
40D180 ÷ 30 = 6.
41B£26 × 1.1 = $28.60.
42C2×(6×4 + 4×7 + 6×7) = 188 cm².
43A5 appears most often.
44D8 − 2 = 6.
45D6 appears most often.
46D44 − 17 − 16 = 11.
47DMiddle value when sorted = 24.
48C5.5 × 10 = 55.
49A6 × 5 = 30; 30 − 25 = 5.
50DFrom Fri to Sat it fell by 16, the largest change.