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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 as38, 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 thousandNote: Don't include a comma (,) while answering)

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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