# Free 11 Plus Maths sample papers

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A 3-digit number 4a3 is added to another 3-digit number 984 to give a 4-digit number 13b7, which is divisible by 11. Then, (a + b) =?

1. 10 |

2. 11 |

3. 12 |

4. 15 |

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The sum of two fractions is 7/9 and the difference is 2/9. Then what are 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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1. 8 |

2. 6 |

3. 12 |

4. 24 |

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1. 35 |

2. 145 |

3. 180 |

4. 90 |

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Source: ST Paul's Girls's school , frist year entrance exam 2017 paper 1 Section B.

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5 X 12 = ?

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What are the prime factors of 20?

1. 5, 4 |

2. 4, 5 |

3. 5, 2, 2 |

4. 2, 3, 5 |

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1. 10 |

2. 100 |

3. 1000 |

4. 10000 |

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Convert 300K into Celsius.

1. 27°C |

2. 37°C |

3. 127°C |

4. 30°C |

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1. 45 |

2. 60 |

3. 90 |

4. 100 |

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Round the number 4488 to nearest thousand

1. 1000 |

2. 2000 |

3. 5000 |

4. 4000 |

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1. 30 |

2. 25 |

3. 35 |

4. 20 |

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Simplify 7x + 8y + 7b - 2x - 3y - 7b

1. 6x + 5y |

2. 5x + 4y |

3. 5x + 4y + b |

4. 5x + 5y |

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If 26+13-3=36 then fill the inverse operation 36 _ 13 + _ = _

1. 36+13+3= 52 |

2. 26+13+3 = 42 |

3. 26-13-3=10 |

4. 36-13+3 = 26 |

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Three dice are thrown simultaneously. Find the probability of obtaining a six in all three dice.

1. 1/6 |

2. 1/2 |

3. 1/36 |

4. 1/216 |

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If 2ax+c=b then x equals to?

1. c-b |

2. b-c-2a |

3. b-c/2a |

4. c-b/2a |

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If a movie was released, it would be reviewed by two major groups. The review from Critics is 2/5, and the review by the audience is 4/5. What could be its average review?

1. 3/5 |

2. 4/5 |

3. 2.5/5 |

4. 3.5/5 |

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Wilson goes to rice store and brings 5 bags of rice. Each bag contains 50 kg of rice. Find the weight of all bags in grams?

1. 50000 grams |

2. 5000 grams |

3. 250000 grams |

4. 25000 grams |

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The record of long jumps by 7 Students of a team are 98 cm, 125 cm, 140 cm, 155 cm, 174 cm, 140 cm and 155 cm. Find the mode of the data.

1. 174 cm |

2. 140 cm & 155 cm |

3. 140 cm |

4. 150 cm |

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If x/2+5=10 then find out the value of ‘x’ by performing inverse operation.

1. 12 |

2. 10 |

3. 13 |

4. 11 |

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6 X 8 = ?

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Write the result in figures:

Subtract 'three thousand, nine hundred and eighty six' from 'three thousand, nine hundred and eighty seven'

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

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2 x 14 = ?

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1. 2018 |

2. 2015 |

3. 2016 |

4. 2017 |

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If 12+3-2=13, then what inverse operation should be done to get 12?

1. 12+2+3= 17 |

2. 13-3+2=12 |

3. 13+3+2=18 |

4. 2-12+13=11 |

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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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Calculate the value of following Percentages in Decimals:

1) 50 %

2) 33 1/3 %

3) 21 %

1. 0.5, 99, 21 |

2. 0.2, 3.0, 0.3 |

3. 0.5, 33.33, 0.7 |

4. 0.5, 0.33, 0.21 |

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Tickets numbered 1 to 15 are mixed up and one ticket is drawn at random. 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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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. 27.5 |

2. 26 |

3. 27 |

4. 29 |

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Assume Y-axis as a mirror then find the coordinates of the reflected point of A in the following graph

1. (-2,3) |

2. (2,3) |

3. (2,-3) |

4. (-2,-3) |

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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. 25 |

2. 30 |

3. 35 |

4. 40 |

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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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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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1. 16min |

2. 19min |

3. 20min |

4. 26min |

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Solve 15q + 9 =6q + 54

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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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If the number 97215 * 6 is completely divisible by 11, then the smallest whole number in place of * will be:

1. 3 |

2. 2 |

3. 1 |

4. 5 |

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If x : y = 1 : 3 and y : z = 2: 5; find x : z.

1. 1 : 3 |

2. 5 : 15 |

3. 2 : 15 |

4. 5 : 3 |

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Calculate the values of the following questions :

i. ( - 23 ) – ( - 69)

ii. ( 47) – ( - 15 )

1. 46 & 60 |

2. 66 & 62 |

3. 46 & 62 |

4. 36 & 42 |

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By understanding the following conversation between Robert and John, answer the question.

Robert: “How many hens do you have in your farm?”

John:”Twice the number of hens is same as one more than the square of number of hens”.

Find the number of hens.

1. 1 |

2. 2 |

3. 3 |

4. 4 |

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1. 2 |

2. 4 |

3. 6 |

4. 8 |

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What is the probability of getting the same number on the two Dice when they are thrown?

1. 1/4 |

2. 1/6 |

3. 1/8 |

4. 1/10 |

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Convert 8 km into ________ metres.

1. 8 |

2. 800 |

3. 8000 |

4. 1/8000 |

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1. 14 |

2. 15 |

3. 21 |

4. 20 |

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Arrange the following lengths in descending order :

10m, 1mm, 1cm

1. 1cm, 10m, 1mm |

2. 10m, 1mm, 1cm |

3. 10m, 1cm, 1mm |

4. 1mm, 1cm, 1mm |

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Glory had secured marks in a test of various subjects as

38, 87, 45, 79, 68, 53

1. 69 |

2. 41 |

3. 34 |

4. 49 |

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Robert bought a temperature recording device, and he recorded three times on a particular day. In the morning, the temperature in California was recorded as 20°C, and during the afternoon the temperature was recorded as 30°C, and during the night the temperature was recorded as 10°C. Find the average temperature in California.

1. 20°C |

2. 10°C |

3. 6°C |

4. 22°C |

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Find the H.C.F of 81 and 27.

1. 27 |

2. 81 |

3. 9 |

4. 3 |

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A rectangular tank needs to be coated with insulation. The tank has a length of 5m, a width of 4m and height of 2.5m. Each square meter of insulation costs £10. How much would it cost to cover the surface of the tank with insulation?

1. £825 |

2. £850 |

3. £890 |

4. £860 |

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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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1 gram =____milligrams

1. 0.001 mg |

2. 0.01 mg |

3. 100 mg |

4. 1000 mg |

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1. |

2. |

3. |

4. |

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Find the mean of 10, 12, 15, 17, 23, 25, 29 and 31.

1. 10.25 |

2. 20.25 |

3. 30.25 |

4. 40.25 |

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1. 132 |

2. 121 |

3. 134 |

4. 123 |

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How many metres are there in 10 kilometres?

1. 100 |

2. 10 |

3. 1,000 |

4. 10,000 |

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Convert 40°C into Fahrenheit temperature.

1. 400°F |

2. 104°F |

3. 204°F |

4. 120°F |

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Kelvin noted the amount of an orange juice as 1.869 ml. Round off the value to the nearest integer.

1. 1 |

2. 2 |

3. 3 |

4. 1.5 |

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#### Find the value of -8³

1. 512 |

2. 64 |

3. -512 |

4. None |

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A train covers 25,000 metres in 1 hour. How many kilometres does the train cover in a day?

1. 550 |

2. 625 |

3. 600 |

4. 505 |

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What are the common factors for 4 and 16?

1. 1, 2, 4 |

2. 1, 2, 4, 8 |

3. 1, 2, 4, 8, 16 |

4. 1, 2, 3, 4, 16, 24 |

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Alex bought crayons for £13.50, painting brush for £4.25 and drawing books for £16. Find the total bill.

1. 36.75 |

2. 33.75 |

3. 31.5 |

4. 34.75 |

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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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Shaun buys two t-shirts costing £12.50 each and one pair of socks costing £1.75. How much does he spend altogether?

1. £ 22.75 |

2. £ 26.75 |

3. £ 36.75 |

4. £ 25.75 |

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1. 30 |

2. 40 |

3. 35 |

4. 45 |

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Ratio of the two numbers is 5: 7 and their product is 35. Find the sum of the two numbers.

1. 10 |

2. 14 |

3. 18 |

4. 12 |

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

1. -436 |

2. -438 |

3. -439 |

4. -437 |

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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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The cost of 20 new notebooks is £45. Alexander have only £20 in his pocket. How many notebooks can be buy?

1. 6 |

2. 7 |

3. 9 |

4. 8 |

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1. 42 m |

2. 49 m |

3. 44 m |

4. 51m |

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1. \({1\over 12}, 0\) |

2. \(0, {1\over 12}\) |

3. \(0, 0\) |

4. \({1\over 12}, {1\over 12}\) |

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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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LCM and HCF of two numbers is 96 and 24 respectively. One of the numbers is 48. Find the other number.

1. 196 |

2. 48 |

3. 192 |

4. 96 |

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If Jessie leaves her office and walks about 5 km a day to reach home and travels the same distance for 7 days out of 31 days in a month. Find out the distance in meters she walked for four months which have 31 days.

1. 1500 m |

2. 140000 m |

3. 1400 m |

4. 150000 m |

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1. |

2. |

3. |

4. |

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Calculate 100x10-100+2000÷100

1. 2900 |

2. 29 |

3. 92 |

4. 920 |

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1. 7 |

2. 6 |

3. 18 |

4. 25 |

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1. 25 cm |

2. 24 cm |

3. 27 cm |

4. 29 cm |

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1. |

2. |

3. |

4. |

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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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#### Convert fraction into percentage: 1/10

1. 0.1 %. |

2. 10%. |

3. 100% |

4. None |

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The LCM of two numbers is 24. The numbers are in the ratio 2:3. Find the numbers.

1. 2 and 3 |

2. 2 and 6 |

3. 4 and 6 |

4. 4 and 8 |

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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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1. 33 sq.cm |

2. 35 sq.cm |

3. 34.8 sq.cm |

4. 37 sq.cm |

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1. a=90, b=180 |

2. a=72, b=90 |

3. a=72, b=110 |

4. a=90, b=280 |

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Write the result in figures:

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

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Convert the measurement 893 cm into metres?

1. 0.0893 m |

2. 0.893 m |

3. 89.3 m |

4. 8.93 m |

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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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Thomas does his homework in 41 minutes. He then plays football for 45 minutes and takes a bath for 13 minutes. Find the total time (in hours) taken by Thomas to finish his routine?

1. 1 hour 55 minutes |

2. 2 hours |

3. 1 hours 39 minutes |

4. 1 hour 50 minutes |

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Calculate 5 x 16 ÷ 8 x 2

1. 20 |

2. 10 |

3. 8 |

4. 5 |

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If the point (2, 2) is moved 2 units down first and then two units left then find the new coordinates of the point?

1. ( 1,0 ) |

2. ( 2,0 ) |

3. ( 0,2 ) |

4. ( 0,0 ) |

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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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#### 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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The percentage of people who uses public transport in six different cities is given as 84%, 98%, 96%, 50%, 70% and 80%. Find the median.

1. 50 |

2. 70 |

3. 80 |

4. 82 |

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1. A |

2. B |

3. C |

4. D |

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