# Free 11 Plus Maths sample papers

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1. 15 |

2. 45 |

3. 30 |

4. 20 |

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1. 8 |

2. 9 |

3. 7 |

4. 5 |

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#### Find the value of (1/2)² - (1/4)²

1. 3/4. |

2. 3/16. |

3. 16/3. |

4. None |

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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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In the given sketch of house, there is a path between lawn and border.

1. 96 m² |

2. 112 m² |

3. 104 m² |

4. 114 m² |

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Write the number in figures:

one thousand, three hundred and eighty six

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

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14, 25, 47, 91, x, 355 find the missing term of given series.

1. 100 |

2. 197 |

3. 179 |

4. 335 |

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Find the value of 0.288 ÷ 1.44

1. 2 |

2. 1.4 |

3. 0.2 |

4. 0.02 |

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1. 8 |

2. 6 |

3. 12 |

4. 24 |

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There are 669 books in Maruti’s library. If 339 books are biographies, find the number of other books in the library.

1. 340 |

2. 320 |

3. 330 |

4. 310 |

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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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The girls had 3 weeks to sell tickets for their play. In the first week, they sold 76 tickets. In the second week, they sold 110 tickets, and in the third week, they sold 212 tickets. How many tickets did they sell in 3 weeks?

1. 394 |

2. 398 |

3. 396 |

4. 390 |

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What is the average temperature from the below statistics?

1. 20°C |

2. 14°C |

3. 15°C |

4. 18°C |

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1. 18 cm |

2. 20 cm |

3. 21 cm |

4. 19 cm |

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1. 30 |

2. 40 |

3. 35 |

4. 45 |

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1. 165m |

2. 176m |

3. 69m |

4. 166m |

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What percent of £65 is 13 pence?

1. 0.2% |

2. 2% |

3. 20% |

4. 5% |

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1. (6,4) |

2. (4,6) |

3. (8,4) |

4. (4,8) |

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Find the Value of ‘p’ in the following equation using Inverse operation.

208 = 60 + 88 + 12p

1. – 5 |

2. 1/5 |

3. 5 |

4. -1/5 |

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1. 27.5 |

2. 26 |

3. 27 |

4. 29 |

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1. Only (i) and (ii) |

2. Only (i), (iii) and (iv) |

3. Only (i) and (iv) |

4. Only (iii) and (iv) |

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write the ratio 3:3:6 in simplest form.

1. 1:1:6 |

2. 1:1:2 |

3. 1:2:1 |

4. 1:1:1 |

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Rachel runs at a speed of 20kmph. If she runs for 2 hours, what distance would she cover?

1. 60 |

2. 40 |

3. 30 |

4. 20 |

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

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A rod of 12 mm is cut into three equal pieces and used to form a triangle. Find the height of the triangle.

1. 3√3 |

2. √3 |

3. 2√3 |

4. 3 |

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1. 32 |

2. 48 |

3. 56 |

4. 64 |

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Represent 0.624 in the form of a common fraction.

1. 78/125 |

2. 83/93 |

3. 22/98 |

4. 98/145 |

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1. 500 |

2. 450 |

3. 250 |

4. 530 |

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1. 10 |

2. 100 |

3. 1000 |

4. 10000 |

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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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Arrange numbers in descending order: -10, -1, -4, 0

1. 0, -1, -4, -10 |

2. -10, -1, -4, 0 |

3. -10, -4, -1, 0 |

4. 0, -1, -10, -4 |

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1. 10 and 84 |

2. 48 and 10 |

3. 40 and 10 |

4. 48 and 20 |

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1. V |

2. X |

3. Z |

4. W |

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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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1. 4 |

2. 6 |

3. 1 |

4. 2 |

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The mean of 5 numbers is 6. If we remove one of the numbers, the mean of the remaining numbers is 5. What is the number that was removed?

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Round the number 2544 to nearest 100.

1. 2400 |

2. 3900 |

3. 2500 |

4. 3700 |

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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. A |

2. B |

3. C |

4. D |

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#### The temperature of the room is 29°C, after switching the air conditioner for 15minutes the temperature of the room is 10°C colder than the initial temperature. What is the temperature of the room after 15 minutes?

1. 19°C |

2. 15°C |

3. 13°C |

4. 17°C |

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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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35 women and 56 men attended a meeting. Find the ratio of women to men.

1. 5:6 |

2. 6:5 |

3. 5:8 |

4. 8:5 |

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In the following diagram, Rectangle represents women, Triangle represents educated, Circle represents urban.

As per the below diagram, how many educated women are there?

1. 15 |

2. 12 |

3. 7 |

4. 6 |

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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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Calculate** **545.3 + 238.6 - 407.2 = ?

1. 376.7 |

2. 292.5 |

3. 296.8 |

4. 356.4 |

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Sarah buys a Barbie doll for £500 and sold it for £550. Find the percentage of profit gained by her?

1. 90% |

2. 110% |

3. 50% |

4. 10 % |

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1. 3 and 6 |

2. 9 and 6 |

3. 9 and 3 |

4. 9 and 8 |

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1. A |

2. B |

3. C |

4. D |

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1. 132 |

2. 121 |

3. 134 |

4. 123 |

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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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Bob started a business by taking 60% of 25000£ from Emily. He got 7% profit of what he invested. Find the amount gained by him.

1. 1005£ |

2. 670£ |

3. 1050£ |

4. 650£ |

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#### Arrange the numbers in the descending order: 4.17, 4.27, 4.12, 4.25, 4.15, 4.18, 4.28

1. 4.28, 4.27, 4.25, 4.18, 4.15, 4.17, 4.12 |

2. 4.28, 4.27, 4.25, 4.18, 4.17, 4.15, 4.12 |

3. 4.28, 4.27, 4.25, 4.17, 4.18, 4.15, 4.12 |

4. None |

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Find the number which is smallest in the given numbers: -0.1, -1.0, -0.001, -0.

1. -0 |

2. -1.0 |

3. -0.1 |

4. -0.001 |

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Build a 5-digit number from the parts 30000+30+300+3000+3.

1. 12358 |

2. 35467 |

3. 33333 |

4. 78965 |

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The prices of a bike and T.V are in the ratio 6: 7. If the price of bike is £ 500 then the price of the T.V is

1. £ 580 |

2. £ 583.33 |

3. £ 480 |

4. £ 600 |

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Convert 550 litres into ______ centilitres

1. 5500 |

2. 55000 |

3. 550000 |

4. 1/55000 |

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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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In a lottery, there are 35 tickets. Among which only 10 tickets contain prizes. A lottery is drawn at random. What is the probability of getting a prize?

1. 3/7 |

2. 2/7 |

3. 1/9 |

4. 2/3 |

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1. 16.5 |

2. 17.5 |

3. 18.5 |

4. 19.5 |

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What is the area of the following triangle?

1. \(12\sqrt{3}\) |

2. \(14\sqrt{3}\) |

3. \(16\sqrt{3}\) |

4. \(18\sqrt{3}\) |

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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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Arrange the following sequence in descending order

55.5, 5.05, 5.5, 5.55

1. 5.05, 5.5, 5.55, 55.5 |

2. 5.5, 5.05, 5.55, 55.5 |

3. 55.5, 5.55, 5.5, 5.05 |

4. 55.5, 5.5, 5.55, 5.05 |

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1. A (3, 2) and B (5, 4) |

2. A (3, 3) and B (5, 4) |

3. A (3, 3) and B (5, 5) |

4. A (3, 3) and B (4, 5) |

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1. 28 |

2. 29 |

3. 30 |

4. 31 |

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#### Find the value of (1/5)²

1. 1/25. |

2. 1/15. |

3. 1/50. |

4. None |

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Observe the following sequence :

6 11 7 12 8 13 9 14 10 ?

What is the next number in the sequence ?

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

1. 44 |

2. 56 |

3. 45 |

4. 85 |

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Tom had registered daily usage of his Internet usage for a week as: 408MB, 185MB, 298 MB, 703MB, 689MB and 980MB. What is the range of his Internet usage?

1. 682 |

2. 518 |

3. 795 |

4. 759 |

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1. 25 |

2. 35 |

3. 45 |

4. 55 |

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If we join two squares side by side, then what is the new shape of the figure?

1. Rectangle |

2. Square |

3. Rhombus |

4. Parallelogram |

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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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1 metre = _____ millimetres

1. 0.001 mm |

2. 10 mm |

3. 100 mm |

4. 1000 mm |

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1. 15 |

2. 11 |

3. 16 |

4. 31 |

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Find out the value of ‘p’ in the number “2p4” if it is divisible by 6.

1. 1 |

2. 2 |

3. 3 |

4. 4 |

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1. A |

2. B |

3. D |

4. E |

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1. 2 and 3 |

2. 3 and 1 |

3. 3 and 3 |

4. 3 and 2 |

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6 X 8 = ?

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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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1. Pentagonal Prism |

2. Hexagonal Pyramid |

3. Pentagonal Pyramid |

4. Hexagonal Prism |

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Find the H.C.F of 9/10 , 12/25, 18/35,21/40

1. 3/5 |

2. 63/700 |

3. 3/2800 |

4. 3/1400 |

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103 + 241 = ?

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Find the LCM of 8 and 16.

1. 8 |

2. 16 |

3. 32 |

4. 48 |

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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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From the following Venn diagram, find the number of students who like to listen music only?

1. 8 |

2. 3 |

3. 4 |

4. 15 |

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15 X 6 = ?

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1. 2 |

2. 4 |

3. 6 |

4. 8 |

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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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If the product of numbers 44 and p3 is divisible by 12, then what is the smallest value of p?

1. 9 |

2. 6 |

3. 3 |

4. 4 |

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There are 5 balls and 6 bats in a kit and find out the probability of choosing a bat by a batsman when picked up randomly.

1. 6/11 |

2. 5/11 |

3. 5/12 |

4. 6/13 |

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What is the value of ‘x’ in the following triangle?

1. 8 |

2. 6 |

3. 4 |

4. 2 |

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#### Calculate (4 + 9) - √49 + (7 - 9²) x 6

1. -436 |

2. -438 |

3. -439 |

4. -437 |

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1. A=7 and B=4 |

2. A=4 and B=7 |

3. A=4 and B=9 |

4. A=5 and B=7 |

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The formula for the perimeter 'P'of a rectangle of width 'w' and height 'h' is:

P = 2(w + h)

What is the value of P when w = 6.5 and h = 15?

1. 42 |

2. 33 |

3. 43 |

4. 41 |

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Write the number in figures:

five thousand, five hundred and thirty eight

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

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