# Free 11 Plus Maths sample papers

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Find the mean of 1515.5, 2358.5, 3568.

1. 2480.5 |

2. 2480.2 |

3. 2480.6 |

4. 2480.3 |

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Arrange the digits in ascending order 108, 206, 96, 252.

1. 96, 108, 252, 206 |

2. 96,108, 206, 252 |

3. 96, 206, 252, 108 |

4. 108, 206, 252, 96 |

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There are 30 students in the class. From the given venn diagram find number of students who like neither movies nor music.

1. 4 |

2. 15 |

3. 30 |

4. 12 |

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1. 16 |

2. 15 |

3. 5 |

4. 26 |

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A web designer spends three-fifth of his time in coding while the rest of the time is spent on the idea of designing. Find the fraction of time spent on designing.

1. 1/5 |

2. 3/5 |

3. 2/5 |

4. 4/5 |

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Find the value of x.

1. 8 |

2. 6 |

3. 4 |

4. 2 |

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Find the value of (-10)³

1. 1000 |

2. -1000 |

3. -100 |

4. None |

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Two numbers are in the ratio 6 : 8. If the sum of numbers is 63, find the numbers.

1. 21 and 36 |

2. 28 and 16 |

3. 24 and 14 |

4. 27 and 36 |

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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. 25 |

2. 35 |

3. 45 |

4. 55 |

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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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What is the probability of getting a Sunday in a week?

1. 1/7 |

2. 0 |

3. 3/7 |

4. 4/7 |

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FInd the number of circles in the 10th pattern based on the four patterns given below.

1. 10 |

2. 100 |

3. 50 |

4. 20 |

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103 + 241 = ?

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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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2 x 14 = ?

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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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1 kg=_____grams

1. 100 grams |

2. 0.001 grams |

3. 1000 grams |

4. 0.01 grams |

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Solve 15q + 9 =6q + 54

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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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Find the place value of 4 in the number 253,400.

1. Units |

2. Tens |

3. Thousands |

4. Hundreds |

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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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Cube root of 729 is

1. 3 |

2. 6 |

3. 9 |

4. 12 |

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1. 101 |

2. 103 |

3. 104 |

4. 114 |

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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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In a triangle, the sum of two interior angles is 150 deg. Find the third angle.

1. 90 deg |

2. 40 deg |

3. 30 deg |

4. 20 deg |

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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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Find the area of given triangle

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

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

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

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

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1. 20 |

2. 25 |

3. 10 |

4. 13 |

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1. -6 |

2. 6 |

3. -4 |

4. 4 |

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The cost of different items bought from the grocery store is £15, £20, £10, £25 and £12. Which of the following is true regarding the cost of items?

1. Mean = Median + 2.4 |

2. Mean = Median + 1.8 |

3. Mean = Median + 1.6 |

4. Mean = Median + 1.4 |

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1 inch =_____cm

1. 2.45 cm |

2. 2.54 cm |

3. 2.64 cm |

4. 2.84 cm |

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4, 6, 8, 10, _, _, find the two missing terms.

1. 11,12 |

2. 12,13 |

3. 12,14 |

4. 11,13 |

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17 X 8 = ?

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If a card is drawn from a pack of 52 cards, what is the probability that it is an ace?

1. 1/13 |

2. 1/52 |

3. 1/26 |

4. 1/3 |

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1 litre = _____ centilitres

1. 10 centilitres |

2. 0.001 centilitres |

3. 100 centilitres |

4. 1000 centilitres |

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Write the number in figures:

one thousand, six hundred and ninety three

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

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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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Usain Bolt had completed the marathon of 100 metres in different matches. Following are the successive timings of matches. Find the range of the same.

12.2 sec, 8.6 sec, 9.2 sec, 7.8 sec, 9.8 sec

1. 4.4 sec |

2. 3 sec |

3. 3.6 sec |

4. 2.4 sec |

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Find the output of the following number machine when 8 is given as input?

1. 45 |

2. 46 |

3. 35 |

4. 36 |

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1. 32 cm |

2. 48 cm |

3. 56 cm |

4. 64 cm |

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As per the weather report on BBC channel, the temperature in summer was 40 degrees. In winter it is recorded that the temperature at Baker’s street was 2 degrees and at Cathedral Street was 5 degrees. Find the Lowest temperature that was recorded from the given data.

1. \( 2^0 C \) |

2. \(- 5^0 C \) |

3. \(50^0 C \) |

4. Can’t be determined. |

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1. 3 and 6 |

2. 9 and 6 |

3. 9 and 3 |

4. 9 and 8 |

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

1. £ 580 |

2. £ 583.33 |

3. £ 480 |

4. £ 600 |

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There are 5 balls and 6 bats in a kit, 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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1. Cone |

2. Cuboid |

3. Cylinder |

4. Rectangle |

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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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From the given venn diagram, Find the number of students who like only music.

1. 8 |

2. 3 |

3. 4 |

4. 15 |

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#### Find the value of 9²

1. 71 |

2. 89 |

3. 81 |

4. None |

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A cinema has 400 seats the bar chart shows

the number of people who watched the 7 pm film

each evening one week

How many people watched the film on Wednesday?

1. 200 |

2. 350 |

3. 300 |

4. 250 |

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19 X 4 = ?

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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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Round the 294 to the nearest 10.

1. 290 |

2. 400 |

3. 170 |

4. 300 |

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1. 30° |

2. 35° |

3. 40° |

4. 50° |

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29, 26, 5, 22, 19, 5, 15….find the next two terms of the given series.

1. 12,5 |

2. 10, 7 |

3. 11, 8 |

4. 5, 10 |

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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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Write the number in figures:

One thousand, three hundred and twenty-four

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

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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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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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1. 2018 |

2. 2015 |

3. 2016 |

4. 2017 |

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Find the LCM of 8 and 16.

1. 8 |

2. 16 |

3. 32 |

4. 48 |

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1. 90° |

2. 100° |

3. 47° |

4. 53° |

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1. 18 cm |

2. 20 cm |

3. 21 cm |

4. 19 cm |

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1. Pentagonal Prism |

2. Hexagonal Pyramid |

3. Pentagonal Pyramid |

4. Hexagonal Prism |

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Find the mode of the following numbers:

5, 7, 8, 9, 11, 7, 9, 3, 6, 9, 5, 10, 9, 7 and 2.

1. 7 |

2. 5 |

3. 9 |

4. 6 |

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1. 3cm |

2. 25cm |

3. 30cm |

4. 35cm |

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1. 16min |

2. 19min |

3. 20min |

4. 26min |

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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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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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Find the mean of the set of the numbers given below:

3, -2, -5, 0, 7, 9, 13, 23

1. 7 |

2. 8.5 |

3. 7.5 |

4. 6 |

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The additive inverse of 11 is

1. 11 |

2. 1/11 |

3. -11 |

4. 11 |

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1. \(2 unit^2 \) |

2. \(3 unit^2\) |

3. \(4 unit^2\) |

4. \(1 unit^2\) |

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

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The mean of five numbers 11, 3, 9, x, 5 is 7.

Find the median.

1. 11 |

2. 3 |

3. 9 |

4. 7 |

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An elephant drinks 125 litres of water per day. How many millilitres of water would it drink in a week?

1. 87,500 |

2. 875,000 |

3. 8750 |

4. 8,750 |

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1. 70° |

2. 80° |

3. 90° |

4. 110° |

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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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1. 3 |

2. 4 |

3. 5 |

4. 2 |

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1. 2178 |

2. 1287 |

3. 7812 |

4. 1278 |

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What is the largest number that can be formed from the following heights of the students?

6 feet, 5 feet, 7 feet, 3 feet

1. 7653 |

2. 6753 |

3. 7635 |

4. 7563 |

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Find the co-ordinates of origin in given graph

1. ( 1,0 ) |

2. ( 2,0 ) |

3. ( 0,2 ) |

4. ( 0,0 ) |

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Replace the symbol ‘ӿ’ with the correct number :

178 – (- 22) – (ӿ) x 10 = - 7650

1. – 785 |

2. – 7850 |

3. 785 |

4. - 7640 |

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Isabella purchased a bicycle for £8000 and spent £2000 on it for repairs.

She sold it for £7500. Find the Profit (or) Loss got by Isabella?

1. Loss of £1500 |

2. Profit of £2500 |

3. Profit of £1500 |

4. Loss of £2500 |

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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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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. B(0,-3) and C(-3, 0) |

2. B(0, 3) and C(0,-3) |

3. B(0,-3) and C(0,3) |

4. B(0,3) and C(0,3) |

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If a dice is thrown 15 times then the following are the numbers that have appeared.

Find the mode.

4, 1, 3, 5, 1, 5, 6, 2, 6, 4, 6, 2, 6, 5, 1.

1. 5 |

2. 4 |

3. 1 |

4. 6 |

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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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Find the value of (-8)³

1. 512 |

2. 64 |

3. -512 |

4. None |

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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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One minute = _________ Seconds

1. 50 |

2. 60 |

3. 45 |

4. 100 |

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In the University of Oklahoma, a research was conducted on 100 different students every year for five consecutive years targeting their field of interests. The following is the representation of the survey.

1. Engineers |

2. Entrepreneurs |

3. Teachers |

4. Doctors |

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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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5 X 12 = ?

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