# Free 11 Plus Maths sample papers

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Convert the following percentages into decimal numbers.

(i) 24% (ii) 67% (iii) 99% (iv) 125%

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1. A and B |

2. B and C |

3. A and C |

4. A |

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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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The sum of 12p3 and 1540 is 278q, which is divisible by 11.

Then what is the value of p + q?

1. 6 |

2. 11 |

3. 9 |

4. 7 |

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Solve 15q + 9 =6q + 54

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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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2, 4, 16,256 ... What number should come next?

1. 66666 |

2. 77777 |

3. 65536 |

4. 35536 |

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Lucy bought furniture for £25000, and had a loss of £18000. What was the selling price of the furniture?

1. £6000 |

2. £7000 |

3. £8000 |

4. £5000 |

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1. 80 |

2. 88 |

3. 98 |

4. 78 |

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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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Sara had 36 stickers, and she gave 10 of them to her friend. Find the number of stickers left with Sara.

1. 26 |

2. 24 |

3. 29 |

4. 20 |

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Brock runs 5 kms a day and Hales runs 3 kms a day. Calculate the fraction of kilometers that Brock runs in a week when compared to Hales.

1. 7/5 |

2. 5/3 |

3. 5/7 |

4. 7/3 |

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1. 1/2 |

2. 2/3 |

3. 1/3 |

4. 4/3 |

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1. \(70^0\) |

2. \(60^0\) |

3. \(120^0\) |

4. \(130^0\) |

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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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What is 78.5% of 85.20?

1. 66.862 |

2. 68.662 |

3. 66.882 |

4. 66.662 |

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Convert the measurement 65923 milligrams into kilograms?

1. 65.923 kg |

2. 0.65923 kg |

3. 6.5923 kg |

4. 0.065923 kg |

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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. 60° |

2. 130° |

3. 70° |

4. 10° |

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1. V |

2. X |

3. Z |

4. W |

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Find the value of 6² + 8²

1. 90 |

2. 100 |

3. 110 |

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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Find the area of the below figure?

1. 10+√3 square units |

2. 10-√3 square units |

3. 5-√3 square units |

4. 5+√3 square units |

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1. 25 |

2. 30 |

3. 35 |

4. 40 |

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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. 2 |

2. 3 |

3. 4 |

4. 5 |

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1. 3 |

2. 4 |

3. 10 |

4. 19 |

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Calculate 3 x (3 + 6) - 2 + (7 - 2)

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Round the 294 to the nearest 10.

1. 290 |

2. 400 |

3. 170 |

4. 300 |

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1. A and C |

2. A and B |

3. Only C |

4. Only A |

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Convert 619 millimetres in to _____ cm.

1. 619 |

2. 6.19 |

3. 0.619 |

4. 61.9 |

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Write the result in figures:

Add 'eight thousand, seven hundred and ninety three' AND 'one thousand and two hundred and seven'

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

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1. \(60^0\) |

2. \(80^0\) |

3. \(90^0\) |

4. \(100^0\) |

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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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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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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. \(2 unit^2 \) |

2. \(3 unit^2\) |

3. \(4 unit^2\) |

4. \(1 unit^2\) |

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Round the number 63,499 to nearest 100.

1. 63,500 |

2. 62,000 |

3. 62,500 |

4. 63,000 |

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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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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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The temperature of the room is 29°C, after switching the air conditioner for 15minutes the temperature of the room is 10°C colder than the initial temperature. What is the temperature of the room after 15 minutes?

1. 19°C |

2. 15°C |

3. 13°C |

4. 17°C |

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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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1. \( 60cm^2\) |

2. \(80cm^2\) |

3. \(120cm^2\) |

4. \(30cm^2\) |

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1. 30 |

2. 40 |

3. 35 |

4. 45 |

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

1. 6x + 5y |

2. 5x + 4y |

3. 5x + 4y + b |

4. 5x + 5y |

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Find the value of (-8)³

1. 512 |

2. 64 |

3. -512 |

4. None |

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The temperature at 6 pm is 3°C. By midnight it has fallen by 6°C. Between midnight and 6 am it rises by 3°C. What is the temperature at 6 am?

1. 1°C |

2. 2°C |

3. 3°C |

4. 0°C |

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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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Lynn bought a Fidget Spinner for £200 and sold it for £250. Find the Profit or Loss obtained by Lynn?

1. Profit of £50 |

2. Profit of £100 |

3. Loss of £50 |

4. Loss of £40 |

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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 article's cost is £ 25. If sold for £3 gain, what is its selling price?

1. £ 28 |

2. £ 22 |

3. £ 25 |

4. £ 30 |

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2 X 7 = ?

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Find the average of the first nine multiples of 3.

1. 15 |

2. 15.33 |

3. 16 |

4. 150 |

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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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A triangle has a base of 18cm and an area of 72cm². Find the height of the triangle.

1. 8 cm |

2. 6 cm |

3. 9 cm |

4. 7 cm |

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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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Which two letters have a vertical line of symmetry?

P R S V A N

1. P and S |

2. S and V |

3. V and A |

4. A and N |

5. none |

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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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1. 60 |

2. 50 |

3. 40 |

4. 75 |

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1. 30 |

2. 25 |

3. 35 |

4. 20 |

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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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Find the value of (-4)³

1. 64 |

2. -64 |

3. 54 |

4. None |

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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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Ratio of 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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1. 18 cm |

2. 20 cm |

3. 21 cm |

4. 19 cm |

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Write the inverse operation of 90+3=93.

1. 90=93-3 |

2. 90=93x3 |

3. 90=93+3 |

4. 90=93/3 |

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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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Calculate 100x10-100+2000÷100

1. 2900 |

2. 29 |

3. 92 |

4. 920 |

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Bob started a business by taking 60% of 25000£ from Emily. He got 7% profit of what he invested. Find the amount gained by him.

1. 1005£ |

2. 670£ |

3. 1050£ |

4. 650£ |

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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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1. 60° |

2. 70° |

3. 40° |

4. 130° |

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The third multiple of 7 is

1. 1 |

2. 7 |

3. 14 |

4. 21 |

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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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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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1. 32 cm |

2. 38 cm |

3. 37 cm |

4. 36 cm |

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1. Triangular Prism |

2. Tetrahedron |

3. Octahedron |

4. Triangular Pyramid |

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1. 4 |

2. 6 |

3. 1 |

4. 2 |

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Find the value of 5³ + 2³

1. 133 |

2. 125 |

3. 134 |

4. None |

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1. 83 |

2. 79 |

3. 84 |

4. 89 |

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How much percentage of 75 is to be added to itself to make it a perfect square 100?

1. 33.33% |

2. 44.44% |

3. 55.55% |

4. 66.66% |

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The ages of players in a RUGBY team (in years) are 25, 26, 25, 27, 28, 30, 31, 27, 33, 27 and 29. Find the mode of the ages.

1. 25 |

2. 29 |

3. 27 |

4. 33 |

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Make the Largest 4 digit number using the following numbers without repetition:

2,9,1,0,

1. 9012 |

2. 9102 |

3. 9201 |

4. 9210 |

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1. 28.2 |

2. 38.2 |

3. 29.2 |

4. 29.8 |

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3 x 9 = ?

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Build a 5-digit number from the parts 30000+30+300+3000+3.

1. 12358 |

2. 35467 |

3. 33333 |

4. 78965 |

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2 x 14 = ?

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1. ÷5 and x 2 |

2. ÷5 and +2 |

3. ÷5 and ÷2 |

4. ÷2 and x 5 |

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6x + 65 + 4x – 15 – 5x + 8 + x = 160

Find the value of x?

1. 15 |

2. 16 |

3. 17 |

4. 18 |

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What will be the digit in the hundreds place if we add 359 to the following number?

573219

1. 2 |

2. 3 |

3. 5 |

4. 7 |

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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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Work out 3m² + 3h if h = 7, m = 2

1. 33 |

2. 34 |

3. 39 |

4. 36 |

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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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1. 25 cm |

2. 24 cm |

3. 27 cm |

4. 29 cm |

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