# Free 11 Plus Maths sample papers

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Arrange the following sequence in descending order

55.5, 5.05, 5.5, 5.55

1. 5.05, 5.5, 5.55, 55.5 |

2. 5.5, 5.05, 5.55, 55.5 |

3. 55.5, 5.55, 5.5, 5.05 |

4. 55.5, 5.5, 5.55, 5.05 |

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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. 7 |

2. 6 |

3. 18 |

4. 25 |

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1. 25 |

2. 30 |

3. 35 |

4. 40 |

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What is the maximum angle in equilateral triangle and right angle 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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1. 2178 |

2. 1287 |

3. 7812 |

4. 1278 |

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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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1. 28 |

2. 29 |

3. 30 |

4. 31 |

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#### Find the value of 9²

1. 71 |

2. 89 |

3. 81 |

4. None |

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Find the place value of 6 in the number 2,560.

1. Units |

2. Tens |

3. Thousands |

4. Hundreds |

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Among the following numbers which is the largest number?

8723, 8754, 8453, 85732, 89267

1. 8754 |

2. 85732 |

3. 8443 |

4. 89267 |

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There are 669 books in Maruti’s library. If 339 books are biographies, find the number of other books in the library.

1. 340 |

2. 320 |

3. 330 |

4. 310 |

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What is the value of ‘x’ in the following triangle?

1. 8 |

2. 6 |

3. 4 |

4. 2 |

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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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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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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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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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Find the median of :9.06, 9.10, 9.006, 9.09, 9.01, 9.19 and 9.16.

1. 9.06 |

2. 9.01 |

3. 9.10 |

4. 9.09 |

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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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2 x 14 = ?

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Observe the following sequence :

6 11 7 12 8 13 9 14 10 ?

What is the next number in the sequence ?

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1. 52 Sq.Cm |

2. 36 Sq.Cm |

3. 60 Sq.Cm |

4. 50 Sq.Cm |

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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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Jessica works 10 hours in a day. What fraction of hours she works in a day?

1. 10/12 |

2. 12/5 |

3. 5/6 |

4. 5/12 |

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Find the place value of 9 in the number 490.345.

1. Ten Thousands |

2. Tens |

3. Thousands |

4. Hundreds |

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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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Write the number in figures:

two thousand, four hundred and eighty five

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

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What is the operation that comes in place of '?' in the following number machine to satisfy the given input and output?

1. +5 |

2. x2 |

3. +6 |

4. x3 |

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Write the ratio 2.5km : 1000m in simplest form.

1. 5 : 2 |

2. 2.5 : 10 |

3. 25:1 |

4. 2.5 : 2 |

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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 average of all even numbers between 11 and 25.

1. 16 |

2. 20 |

3. 18 |

4. 19 |

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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. A |

2. B |

3. D |

4. E |

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#### Convert fraction into percentage: 1/11

1. 11.11 %. |

2. 9.09 %. |

3. 9.11 %. |

4. None |

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What percent of £65 is 13 pence?

1. 0.2% |

2. 2% |

3. 20% |

4. 5% |

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If the total students are 30 then find the number of students who like neither movie nor music using the Venn diagram given below

1. 4 |

2. 15 |

3. 30 |

4. 12 |

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1. |

2. |

3. |

4. |

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1. 40 |

2. 42 |

3. 45 |

4. 48 |

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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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#### Find the value of 'x' if 6x + 2 = 5x + 11

1. 9 |

2. 13 |

3. 14 |

4. 8 |

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1. Cone |

2. Cuboid |

3. Cylinder |

4. Rectangle |

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Calculate 314 - 412 + 289 = ?

1. 197 |

2. 185 |

3. 201 |

4. 191 |

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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. 90 |

2. 100 |

3. 47 |

4. 53 |

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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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Find the area of the following shape.

1. 30 sq.cm |

2. 38/3 sq.cm |

3. 42/3 sq.cm |

4. 60 sq.cm |

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1. 3 |

2. 4 |

3. 5 |

4. 2 |

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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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Write down the inverse operation of the following:

(a) 10+3=13 (b) 10 X 2=20

1. 10-3=7 , 10/20 = 0.5 |

2. 10+13=23,2/10=0.2 |

3. 13-3 = 10,20/2 = 10 |

4. 10+3=13, 10/2=5 |

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Calculate 100x10-100+2000÷100

1. 2900 |

2. 29 |

3. 92 |

4. 920 |

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Convert the following percentages into decimal numbers.

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

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#### Find the value of -10³

1. 1000 |

2. -1000 |

3. -100 |

4. None |

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1. A and B |

2. B and C |

3. A and C |

4. A |

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1. |

2. |

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Brock runs 5kms a day and Hales runs 3kms a day, calculate what 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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Source: ST Paul's Girls's school , frist year entrance exam 2017 paper 1 Section B.

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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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In the following diagram, Rectangle represents women, Triangle represents educated, Circle represents urban.

As per the below diagram, how many educated women are there?

1. 15 |

2. 12 |

3. 7 |

4. 6 |

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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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1. ( 2, 5 ) |

2. ( 3 ,5 ) |

3. ( 5 , 2 ) |

4. ( 5 , 5 ) |

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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 gram =____milligrams

1. 0.001 mg |

2. 0.01 mg |

3. 100 mg |

4. 1000 mg |

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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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1. A |

2. B |

3. C |

4. D |

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A milkman pours water of 2 litres into 5 litres of milk. Find the total amount of milk (in millilitres) present after mixing?

1. 7 millilitres |

2. 7000 millilitres |

3. 700 millilitres |

4. 70 millilitres |

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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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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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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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Round the number 63,499 to nearest 100.

1. 63,500 |

2. 62,000 |

3. 62,500 |

4. 63,000 |

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The additive inverse of 11 is

1. 11 |

2. 1/11 |

3. -11 |

4. 11 |

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1 feet =______inches

1. 6 inches |

2. 10 inches |

3. 12 inches |

4. 14 inches |

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

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321 + 72 = ?

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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. 165m |

2. 176m |

3. 69m |

4. 166m |

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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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A farmer measures his field with his bare foot and estimated the length to be 25 feet and the width to be 19 feet. Help the farmer to convert the length and width into meters. (1 meter = 3.28 feet)

1. 7.5 m, 5.5 m |

2. 7.62 m, 5.79 m |

3. 5.66 m, 7.33 m |

4. 5.5 m, 7.5 m |

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Cube root of 729 is

1. 3 |

2. 6 |

3. 9 |

4. 12 |

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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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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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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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20% of students in the class are girls. If there are 40 boys, then find the total number of students in a class.

1. 45 |

2. 50 |

3. 55 |

4. 60 |

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1. Husband’s age = 39; Wife’s age = 37 |

2. Husband’s age = 27; Wife’s age = 25 |

3. Husband’s age = 41; Wife’s age = 39 |

4. Husband’s age = 37; Wife’s age = 35 |

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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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1. Alienware |

2. Apple |

3. Dell |

4. Asus |

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1. Adam’s age = 20, Blake’s age = 10; Cathy’s age = 20; Dan’s age = 10 |

2. Adam’s age = 12, Blake’s age = 20; Cathy’s age = 12; Dan’s age = 20 |

3. Adam’s age = 10, Blake’s age = 20; Cathy’s age = 10; Dan’s age = 20 |

4. Adam’s age = 8, Blake’s age = 20; Cathy’s age = 8; Dan’s age = 20 |

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Find the y – Coordinate of the point P

1. 6 |

2. -6 |

3. 4 |

4. -4 |

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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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1 kg=_____grams

1. 100 grams |

2. 0.001 grams |

3. 1000 grams |

4. 0.01 grams |

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1. 15 |

2. 11 |

3. 16 |

4. 31 |

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