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Free 11 Plus Maths sample papers

Free 11 Plus Maths sample papers

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6 X 8 = ?

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Round the 294 to the nearest 10.

1. 290

2. 400

3. 170

4. 300

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Jack drives his car at a speed of 60km per hour. What is the distance covered by him in 2 hours 30 minutes?

1. 120km

2. 130km

3. 155km

4. 150km

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Find the number in the following blank

90−4x5−6x5=2x______+4x5

1. 2

2. 5

3. 4

4. 10

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Find the y coordinate of point P?

 

1. 6

2. -6

3. 4

4. -4

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1 metre = _____ millimetres

1. 0.001 mm

2. 10 mm

3. 100 mm

4. 1000 mm  

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Convert the following percentages into decimals:

56%, 18%.

1. 0.05, 0.06

2. 0.5, 0.1

3. 0.56, 0.18

4. 5.6, 1.8

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Find the mode of following numbers:
6.61, 6.63, 6.66, 6.68, 6.66, 6.69, 6.86 and 6.66
 

1. 6.86

2. 6.69

3. 6.68

4. 6.66

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1 gram =____milligrams

1. 0.001 mg

2. 0.01 mg

3. 100 mg

4. 1000 mg

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Calculate 5 x 16 ÷ 8 x 2

1. 20

2. 10

3. 8

4. 5

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Find the number in the following blank

22−10÷2+10=______x2+1x5

1. 44

2. 55

3. 11

4. 77

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1. 0 and 0

2. 1 and 2

3. 1 and 4

4. 5 and 1

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A school surveyed the ways that pupils travel to school.

The results are shown in the table

 

Bus

Car

Walk

Other

Class A

13

9

8

6

Class B

12

13

6

8

Class C

11

15

7

4

 

How many pupils in class A travel to school by car?

1. 9

2. 13

3. 15

4. 8

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Find the area of the given shape.

 

1. 30 sq.cm

2. 38/3 sq.cm

3. 42/3 sq.cm

4. 60 sq.cm

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The weight of normal African Elephant is 7 tonnes. Convert the value in to Kilograms.
 

1. 7000 kilograms

2. 7 kg 

3. 0.7 kg

4. 70 kg

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1. 4

2. 5

3. 12

4. 15

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Find the answer for the following questions:

(i)1.01x0.10 (ii) 1.11x11.1 (iii) 1.10x1.011

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The mode of x, 17, 19, 9, 9, 17, 19, 9 is 9. Find the number x.

1. 9

2. 19

3. 17

4. 1

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1. V

2. X

3. Z

4. W

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1. \((28)^2 \)

2. 6

3. 4

4. 36

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1. ( 2, 5 )

2. ( 3 ,5 )

3.  ( 5 , 2 )

4. ( 5 , 5 )

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Round the number 13.29 to one decimal point.

1. 13.9

2. 13.2

3. 132

4. 13.3

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1. 3

2. 4

3. 10

4. 19

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The speeds of two trains are 48 km/hr and 60 km/hr. If the distance travelled by them is constant what is the ratio of their time travelled?

1. 5:3

2. 3:5

3. 5:4

4. 4:5

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A carton holds 25 packets of biscuits. Each packet has 14 biscuits. How many biscuits can be packed in 48 cartons? 

1. 16820

2. 16890

3. 16810

4. 16800

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Find the value of (-8)³

1. 512

2. 64

3. -512

4. None

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Edward went to tour and he travelled 20 hours. The first ten hours he travelled at the rate of 42 kmph and next 10 hours at the rate of 24 kmph. Find the distance travelled by Edward?

1. 600 km

2. 660 km

3. 620.9 km

4. 613.6 km

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Write the number in  figures:

Two thousand, four hundred and eighty-five

(Note: Don't include a comma (,) while answering)

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In an examination conducted in Physics and Mathematics, 60% students passed in Physics and 50% of students passed in Mathematics, 20% of students failed in both. Find the total pass percentage.

1. 70

2. 60

3. 30

4. 40

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1. 16min

2. 19min

3. 20min

4. 26min

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1. Class 8

2. Class 9

3. Class 10

4. Class 11

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1. ÷ 100

2. ÷ 10

3. ÷ 5

4. ÷ 0.1

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Solve the equation. 2x - 2 + 3x = -4 + 2x + 14

1. -4

2. -3

3. 4

4. 3

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Find the result of the following equation using Inverse operation by using following rule:

72 – 36 x 4 + 53 =?

Rule: ‘Addition’ as ‘Subtraction’, ‘Subtraction’ as ‘Addition’, ‘Multiplication’ as ‘Division’, ‘Division’ as ‘Multiplication’ 

1. 116

2. 38

3. 28

4. 18

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1. 40

2. 42

3. 45

4. 48

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If the milk packet of 2.5 litres is to be shared by a family, help them by converting the volume into millilitres.

1. 2500 ml

2. 3500 ml

3. 4000 ml

4. 5500 ml

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1. 25 cm

2. 24 cm

3. 27 cm

4. 29 cm

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Area of triangle DEF is 4/5. Find the area of triangle ABC.

 

1. 5

2. 20/4

3. 16/5

4. 4

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Find the number in the following blank. 52+48-25÷5=45÷5+100 -___

1. 12

2. 14

3. 13

4. 18

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Calculate  355.3 + 138.1 - 51.3 = ?

1. 562.7

2. 402.3

3. 442.1

4. 553.3

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What will be the digit in the hundreds place if we add 359 to the following number?

                                                573219

1. 2

2. 3

3. 5

4. 7

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Tickets 1 to 15 are mixed up, and one ticket is drawn randomly. What is the probability that the ticket contains a number which is exactly divisible by 5?

1. 1/4

2. 1/5

3. 2/3

4. 1

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Round the number 63,499 to nearest 100.

1. 63,500

2. 62,000

3. 62,500

4. 63,000

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1. Nail Enamels

2. Talcum powder

3. Lipsticks

4. Shampoos

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1. Huawei

2. Samsung

3. Apple

4. Xiaomi

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A carpet costs £12 per square metre. How much will it cost to carpet a room 6m long and 4.5m wide?

1. £324

2. £423

3. £432

4. £243

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Lucy bought furniture for £25000, and had a loss of £18000. What was the selling price of the furniture?

1. £6000

2. £7000

3. £8000

4. £5000

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Sara had 36 stickers, and she gave 10 of them to her friend. Find the number of stickers left with Sara.

1. 26

2. 24

3. 29

4. 20

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Karen has a piece of rope which is 4/5 m long. She cuts the rope into 6 equal parts. Work out the length of each piece of rope as a fraction in its simplest form.

1. 2/13

2. 2/15

3. 1/5

4. 4/14

5. 1/3

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Write the result in figures:

Subtract three thousand, six hundred and sixty-eight from eight thousand

 

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19 X 4 = ?

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2, 4, 16,256 ... What number should come next?

1. 66666

2. 77777

3. 65536

4. 35536

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1. 512

2. 256

3. 1024

4. 128

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The sum of two fractions is 7/9 and their difference is 2/9. Then what are the two fractional numbers?

1. 11/9 and 3/9

2. 1/2 and 5/18

3. 11/8 and 3/8

4. 11/9 and 2/9

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25, 15, 5, -5, -15,... Find the next term in the series.

1. 25

2. -25

3. -20

4. -30

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How much percentage of 75 is to be added to itself to make it a perfect square 100?

1. 33.33%

2. 44.44%

3. 55.55%

4. 66.66%

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The Median of 50, y+4, 34, y+2, 15, 5 and 2 is 33. These numbers are already arranged in descending order. Find the value of y.

1. 33

2. 32

3. 31

4. 30

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A box contains 20 calculators, out of which 4 are defective. Two calculators are chosen at random from the box. What is the probability that at least one of these is defective?

1. 7/19

2. 12/19

3. 3/4

4. 15/19

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Write the number in figures: 

One thousand, three hundred and twenty-four
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A Refrigerator bought for £ 3,500 and sold  for £ 1,750. Find the gain (or) loss percent did he occurred.

1. Loss 13 %

2. Loss 50 %

3. Gain 96 %

4. Gain 50 %

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The additive inverse of 11 is

1. 11

2. 1/11

3. -11

4. 11

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1. 90°

2. 100°

3. 47°

4. 53°

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1 litre =____millilitres

1. 100 ml

2. 1000 ml

3. 0.01 ml

4. 0.001 ml

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1. A

2. B

3. C

4. D

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The third multiple of 7 is

1. 1

2. 7

3. 14

4. 21

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The prices of items in a shop are listed as:

£ 73, £ 56, £ 21, £ 39, £ 87, £ 12

Find the range of prices of items?

1. £ 61

2. £ 75

3. £ 66

4. £ 48

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What is the LCM of numbers 8, 12, 16, 24?

1. 16

2. 24

3. 48

4. 64

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Simplify the following expression.

7b - 2a +3c - a +b -2b - c

1. 6b - 3a + 3c – c

2. 7b -3a + 3c +b -2b – c

3. 7b – 3a + 2c

4. 6b – 3a + 2c

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1. 15

2. 11

3. 16

4. 31

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1. 3

2. 4

3. 10

4. 19

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1. 74.20%

2. 71.20%

3. 72.20%

4. 73.20%

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Calculate 19/5 - 21/3.

1. -42/4

2. -105/15

3. -17/2

4. -16/5

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1. 2

2. 1

3. 3

4. 0

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Find the place value of 9 in the number 490.345.

1. Ten Thousands

2. Tens

3. Thousands

4. Hundreds

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Write the result in figures:

Subtract two thousand, eight hundred and six from six thousand seven hundred twenty-one

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Source: North London Independent Girls’ Schools’ Consortium, Group 1 Entrance exam 2017.

 

 

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1. 45°

2. 60°

3. 100°

4. 135°

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Find the L.C.M of 2/3, 3/5, 4/7, 9/13

1. 36

2. 1/36

3. 24

4. 1/24 

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1. 3

2. 4

3. 5

4. 2

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Find the value of (1/4)²

1. 1/8.

2. 1/16.

3. 1/64.

4. None

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The temperatures in five different cities are -3°C, -19°C, 0 °C, -15 °C, and 5 °C.

Find the median of the temperatures.

1. 0 °C

2. -15 °C

3. 3 °C

4. -3 °C

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A box of chocolates weighs 575 grams, and contains 25 chocolates. The empty box weighs 75 grams. What is the weight of one chololate ?

1. 40 grams

2. 30 grams

3. 20 grams

4. 10 grams

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The points scored by ten players in a game show are given below. 45, 56, 56, 45, 44, 85, 44, 44, 45 and 45. Find the mode for the given data.

1. 44

2. 56

3. 45

4. 85

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1. ÷2 and -16

2. ÷2 and ÷5

3. ÷5 and ÷4

4. ÷5 and -4

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How many rectangles will be there in triangular prism?

1. 2

2. 3

3. 4

4. 5

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Find the value of 5³ + 2³

1. 133

2. 125

3. 134

4. None

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Calculate 314 - 412 + 289 = ?

1. 197

2. 185

3. 201

4. 191

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The following pie chart gives the percentage of workers from various industries working in night shifts. The bar graph shows the percentage of female workers from these industries working in night shifts.

 

1. 8:7

2. 3:2

3. 17:19

4. 23:25

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1. (2,5), (2,7) and (5,6) 

2. (1,7) , (1,9) and (4,8)

3. (2,6), (2,9) and (5,8)

4. (3,2), (1,9) and (6,8)

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1. 16.5

2. 17.5

3. 18.5

4. 19.5

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Convert the following percentages into decimal numbers.

(i) 24% (ii) 67% (iii) 99% (iv) 125%

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Calculate 0.874 x 0.564

1. 0.871267

2. 0.872198

3. 0.492936

4. 0.83728

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