# Free 11 Plus Maths sample papers

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Calculate** **145.3 + 28.6 - 5.2 =?

1. 184.2 |

2. 202.8 |

3. 168.7 |

4. 123.4 |

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

1. 9 |

2. 8 |

3. 7 |

4. 10 |

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1. 25 cm |

2. 24 cm |

3. 27 cm |

4. 29 cm |

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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. (4, 7) |

2. (7, 5) |

3. (7, 3) |

4. (7, 4) |

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Solve 15q + 9 =6q + 54

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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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Calculate** **355.3 + 138.1 - 51.3 = ?

1. 562.7 |

2. 402.3 |

3. 442.1 |

4. 553.3 |

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One minute = _________ Seconds

1. 50 |

2. 60 |

3. 45 |

4. 100 |

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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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1. 3 and 6 |

2. 9 and 6 |

3. 9 and 3 |

4. 9 and 8 |

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Four friends Adam, Bob, Catherine and Dolly have a habit of saving their pocket money. They saved £500 in total. Adam had £40 more than the Dolly. Catherine had £60 more than Dolly. Bob had £25 more than Dolly.

How much money did Dolly have?

1. £125 |

2. £93.75 |

3. £93.35 |

4. £97.35 |

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15 X 6 = ?

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

1. 44 |

2. 56 |

3. 45 |

4. 85 |

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What is the LCM of numbers 8, 12, 16, 24?

1. 16 |

2. 24 |

3. 48 |

4. 64 |

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1. 14 |

2. 15 |

3. 16 |

4. 17 |

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Find the average of all prime numbers between 30 and 50.

1. 38.9 |

2. 36.8 |

3. 39.6 |

4. 39.8 |

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Grace played billiards game and scored the points as : 120, 50, 355, 500, 750. Find the Range of the points that she scored.

1. 700 |

2. 450 |

3. 640 |

4. 600 |

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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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1. C |

2. Q |

3. R |

4. A |

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Round the 294 to the nearest 10.

1. 290 |

2. 400 |

3. 170 |

4. 300 |

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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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In an examination conducted in Physics and Mathematics, 60% students passed in Physics and 50% of students passed in Mathematics, 20% of students failed in both. Find the total pass percentage.

1. 70 |

2. 60 |

3. 30 |

4. 40 |

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Kristen purchased a book with a discount of 20% on the labelled price. How much did he pay if the labelled price is £ 500?

1. £ 200 |

2. £ 250 |

3. £ 300 |

4. £ 400 |

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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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1. 3cm |

2. 25cm |

3. 30cm |

4. 35cm |

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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. 28.2 |

2. 38.2 |

3. 29.2 |

4. 29.8 |

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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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1. 1 |

2. 2 |

3. 3 |

4. 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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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 gram =____milligrams

1. 0.001 mg |

2. 0.01 mg |

3. 100 mg |

4. 1000 mg |

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In a lottery, there are 35 tickets. Among these, 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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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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6 X 8 = ?

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1. One |

2. Two |

3. Three |

4. None |

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1. 4 |

2. 5 |

3. 12 |

4. 15 |

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

1. 4 |

2. 5.25 |

3. 6.5 |

4. 7 |

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

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

3. \(0, 0\) |

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

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A bag contains 4 red marbles, 5 green and 6 blue marbles. A marble is drawn at random from the bag. What is the probability that the marble drawn is either red or green?

1. 3/5 |

2. 2/5 |

3. 7/15 |

4. 2/3 |

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1 metre = _____ millimetres

1. 0.001 mm |

2. 10 mm |

3. 100 mm |

4. 1000 mm |

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One hour = ______ minutes

1. 100 |

2. 90 |

3. 60 |

4. 120 |

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1. 80 |

2. 88 |

3. 98 |

4. 78 |

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Two right-angled triangles are combined to form a new triangle as shown below?

1. 22 sq.cm |

2. 24 sq.cm |

3. 12 sq.cm |

4. 6 sq.cm |

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1. 132 |

2. 121 |

3. 134 |

4. 123 |

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1. 10 and 84 |

2. 48 and 10 |

3. 40 and 10 |

4. 48 and 20 |

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Area of triangle DEF is 4/5. Find the area of triangle ABC.

1. 5 |

2. 20/4 |

3. 16/5 |

4. 4 |

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1. 2 |

2. 3 |

3. 4 |

4. 5 |

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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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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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Look at this series: 2, 1, (1/2), (1/4) ... What number should come next?

1. (1/3) |

2. (1/8) |

3. (2/8) |

4. (1/16) |

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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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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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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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7 X 11 = ?

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Find the value of 5³ + 2³

1. 133 |

2. 125 |

3. 134 |

4. None |

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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 Peter walks 0.85 miles every Sunday of January where it has 4 Sundays, then

find the distance Peter walked during the month in km.

1. 5.44 km |

2. 4.44 km |

3. 5.67 km |

4. 7.89 km |

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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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Two unbiased coins are tossed. What is the probability of getting at most one head?

1. 3/4 |

2. 1/2 |

3. 2/3 |

4. 3/2 |

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1. Huawei |

2. Samsung |

3. Apple |

4. Xiaomi |

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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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Find the value of 0.288 ÷ 1.44

1. 2 |

2. 1.4 |

3. 0.2 |

4. 0.02 |

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Find the value of (-1)³

1. 1 |

2. 2 |

3. -1 |

4. None |

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1. Pentagonal Prism |

2. Hexagonal Pyramid |

3. Pentagonal Pyramid |

4. Hexagonal Prism |

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1. \( 60cm^2\) |

2. \(80cm^2\) |

3. \(120cm^2\) |

4. \(30cm^2\) |

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35 women and 56 men attend 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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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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1. 60 |

2. 50 |

3. 40 |

4. 75 |

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1. |

2. |

3. |

4. |

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17 X 8 = ?

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1. |

2. |

3. |

4. |

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Mary sold a book for £250 and she got a profit of £23. What would be the price did Mary purchased it?

1. £ 273 |

2. £ 270 |

3. £ 250 |

4. £ 227 |

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1. |

2. |

3. |

4. |

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1. 45° |

2. 60° |

3. 90° |

4. 100° |

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1. 59.90% |

2. 68.90% |

3. 69.70% |

4. 68.70% |

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1. Triangular Prism |

2. Tetrahedron |

3. Octahedron |

4. Triangular Pyramid |

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Find the number in the following blank

2+3x6÷2=2x5+______

1. 1 |

2. 2 |

3. 3 |

4. 4 |

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What is the maximum angle in an equilateral triangle and a right-angled isosceles triangle?

1. 60 and 90 degrees |

2. 90 and 60 degrees |

3. 30 and 90 degrees |

4. 60 and 60 degrees |

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Round the number 4488 to the nearest thousand

1. 1000 |

2. 2000 |

3. 5000 |

4. 4000 |

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Find the value of (-10)³

1. 1000 |

2. -1000 |

3. -100 |

4. None |

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From the given venn diagram, find the number of educated woman who are not from urban region.

1. 15 |

2. 12 |

3. 7 |

4. 6 |

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1. 14 |

2. 15 |

3. 21 |

4. 20 |

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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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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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7, 10, 35, 13, 16, 35, 19… find the next two terms of the given series.

1. 22, 35 |

2. 32, 35 |

3. 23, 19 |

4. 15, 35 |

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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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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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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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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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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 Median of the following numbers: 21, 12, 25, 16, 19, 34 and 28

1. 16 |

2. 25 |

3. 19 |

4. 21 |

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