# Free 11 Plus Maths sample papers

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Find the angle B in the below triangle?

1. 60° |

2. 40° |

3. 30° |

4. 20° |

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1. 59.90% |

2. 68.90% |

3. 69.70% |

4. 68.70% |

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1. 2 |

2. 1 |

3. 3 |

4. 0 |

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Find the y coordinate of point P?

1. 6 |

2. -6 |

3. 4 |

4. -4 |

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321 + 72 = ?

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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. 32 cm |

2. 48 cm |

3. 56 cm |

4. 64 cm |

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In the box there are 15 red balls and 27 blue balls.

Find the ratio of red balls to blue balls.

1. 9:5 |

2. 5:9 |

3. 5:7 |

4. 7:5 |

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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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1. A, B and C |

2. A, B and D |

3. B, C and D |

4. None |

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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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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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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. 1/2 |

2. 2/3 |

3. 1/3 |

4. 4/3 |

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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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From the above RUGBY team, if the players with age 27 are removed then what will be the mode of that problem?

1. 26 |

2. 28 |

3. 30 |

4. 25 |

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One minute = _________ Seconds

1. 50 |

2. 60 |

3. 45 |

4. 100 |

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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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Write the result in figures:

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

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

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Convert 8 km into ________ metres.

1. 8 |

2. 800 |

3. 8000 |

4. 1/8000 |

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Find the coordinates of point P (x, y) if the values of x and y satisfy the line y = x + 3 when x =5.

1. P(3,5) |

2. P(5,3) |

3. P(5,8) |

4. P(8,5) |

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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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If X + Y = 200 and X – Y = 100, then value of Y is ______________

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1. 15 |

2. 11 |

3. 16 |

4. 31 |

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How many hours does Ferguson take to cover a distance of 500 km, if the speed of his car is 20 km/hr?

1. 20 hours |

2. 24 hours |

3. 25 hours |

4. 22 hours |

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

1. 25 |

2. -25 |

3. -20 |

4. -30 |

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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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1. 2018 |

2. 2015 |

3. 2016 |

4. 2017 |

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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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Find the range of m, m+3, m-5, m+5, m-2 and m+7.

1. 9 |

2. 7 |

3. 12 |

4. 4 |

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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. 20 |

2. 25 |

3. 10 |

4. 13 |

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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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#### Find the value of (1/4)²

1. 1/8. |

2. 1/16. |

3. 1/64. |

4. None |

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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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Robert has some bread slices with him. He gives one-fourth of them to Adam. Adam eats four and has four left. How many bread slices did Robert have at the start?

1. 24 |

2. 16 |

3. 32 |

4. 34 |

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1. 25 cm |

2. 24 cm |

3. 27 cm |

4. 29 cm |

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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. Cone |

2. Cuboid |

3. Cylinder |

4. Rectangle |

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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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1. |

2. |

3. |

4. |

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A man goes from city A to city B at a speed of 20kmph and comes back to A at a speed of 30 kmph. Find his average speed for the entire journey.

1. 12kmph |

2. 20kmph |

3. 24kmph |

4. 36kmph |

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1. 20 |

2. 25 |

3. 10 |

4. 13 |

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If HCF of the two numbers ‘m’ and ‘n’ is ‘h’, then find the HCF of (m-n) and (m+n).

1. h |

2. h+n |

3. h-3 |

4. h/m |

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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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1 litre =____millilitres

1. 100 ml |

2. 1000 ml |

3. 0.01 ml |

4. 0.001 ml |

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Find the LCM of 8 and 16.

1. 8 |

2. 16 |

3. 32 |

4. 48 |

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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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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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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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The numbers 6, 7, 16-x, 25 and 35 are in increasing order. If the median is 7 then find the value of 'x'.

1. 9 |

2. 8 |

3. 7 |

4. 10 |

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1. 74.20% |

2. 71.20% |

3. 72.20% |

4. 73.20% |

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1. 3 and 6 |

2. 9 and 6 |

3. 9 and 3 |

4. 9 and 8 |

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Find the value of x.

1. 8 |

2. 6 |

3. 4 |

4. 2 |

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1. 4 |

2. 6 |

3. 1 |

4. 2 |

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1. 52 Sq.Cm |

2. 36 Sq.Cm |

3. 60 Sq.Cm |

4. 50 Sq.Cm |

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1. 30° |

2. 35° |

3. 40° |

4. 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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The additive inverse of 11 is

1. 11 |

2. 1/11 |

3. -11 |

4. 11 |

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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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Jade bought a new Fitbit and was excited to take a fast walk to get his step count on that tracker. He also had his old fitness tracker to check the difference. For a 30-mile walk, Fitbit recorded 24000 steps while his old tracker recorded 23000 steps. Find the fraction of steps recorded during the walk by Fitbit to the old tracker.

1. 24/23 |

2. 23/24 |

3. 4/3 |

4. 3/4 |

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Find the mean of set of values 7, 7, 7 and 7.

1. 4 |

2. 5.25 |

3. 6.5 |

4. 7 |

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The laptop battery has 15 minutes of backup left and the time to complete the work by Louise is 14.50 minutes. Find out the time of backup left in the laptop to shutdown.

1. 25 seconds |

2. 30 seconds |

3. 45 seconds |

4. 60 seconds |

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

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The initial temperature of the oil is 20°C. The temperature of oil after 5 minutes is 45°C. By what rate the temperature is increasing?

1. 3° C/minute |

2. 4° C/minute |

3. 5° C/minute |

4. 6° C/minute |

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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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On Sunday, the temperature in South America was 35°C, and the temperature in North America was 50°F. What is the average temperature in Fahrenheit scale?

1. 127°F |

2. 72.5°F |

3. 50°F |

4. 273°F |

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

1. 0.1% |

2. 10% |

3. 100% |

4. None |

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1. Pentagonal Prism |

2. Hexagonal Pyramid |

3. Pentagonal Pyramid |

4. Hexagonal Prism |

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Find the missing place value from a 6-digit number

1 + 100 + 0 + 80 + _________ + 600000 = 650181.

1. 20000 |

2. 60000 |

3. 30000 |

4. 50000 |

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1. 14 |

2. 15 |

3. 16 |

4. 17 |

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1. 14 |

2. 15 |

3. 21 |

4. 20 |

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1. Nail Enamels |

2. Talcum powder |

3. Lipsticks |

4. Shampoos |

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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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#### Find the value of (1/5)²

1. 1/25. |

2. 1/15. |

3. 1/50. |

4. None |

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The ratio of the cost price and the selling price is 5 :6. The profit percent is

1. 25% |

2. 30% |

3. 35% |

4. 20% |

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1. 2178 |

2. 1287 |

3. 7812 |

4. 1278 |

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One hour = ______ minutes

1. 100 |

2. 90 |

3. 60 |

4. 120 |

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There are 52 playing cards in a pack. Work out how many cards there will be in 15 packs.

1. 676 |

2. 750 |

3. 780 |

4. 624 |

5. 680 |

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The third multiple of 7 is

1. 1 |

2. 7 |

3. 14 |

4. 21 |

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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. 27.5 |

2. 26 |

3. 27 |

4. 29 |

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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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Find the next number in the following series:

25, 225, 625, 1225, _______

1. 2025 |

2. 2052 |

3. 2205 |

4. 2250 |

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Calculate 100x10-100+2000÷100

1. 2900 |

2. 29 |

3. 92 |

4. 920 |

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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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Find the coordinates of the point shown on the grid?

1. A = (4,3) |

2. A = (3,4) |

3. A = (3,3) |

4. A = (4,4) |

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1. \( 60cm^2\) |

2. \(80cm^2\) |

3. \(120cm^2\) |

4. \(30cm^2\) |

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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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