# FREE 11 PLUS PAPERS WITH ANSWERS

Problem 1 :

Observe the following pattern of triangles made of match sticks

How many match sticks are required to make 10 triangles?

a)  15     b) 19    c) 21     d)  25

Solution

Problem 2 :

Andrew bought a notebook for £25.50, a pen for £7.50 and 6 pencils each costing £1.25. He gave a £50 to the shopkeeper. How much change will he get from shopkeeper?

a) £9.50     b) £15.75    c) £40.50     d)  £18.50

Solution

Problem 3 :

The mean of 5 numbers is 40. If 6th number is added then the total will become 212. What is the new number added?

a) 19     b) 12    c) 15     d)  14

Solution

Problem 4 :

Find an angle measure between the hands of the clock when time shows 6 PM.

a) 90°      b) 180°     c) 150°      d)  270°

Solution

Problem 5 :

There are 30 students in year 5 and 40 students in year 6. 10% of the year 5 students and 25% of the year 6 students are vegans. How many students are vegan altogether?

a) 15      b) 12     c) 13      d)  35

Solution

Problem 6 :

Here is a compound shape made from two rectangles.

What is the area of the compound shape?

a) 40 cm2      b) 54 cm2     c) 84 cm2      d)  95 cm2

Solution

Problem 7 :

Write the missing digits to make this calculation correct.

a) 1 and 2      b) 3 and 4     c) 3 and 2      d)  6 and 1

Solution

Problem 8 :

Complete the following patterns.

101 x 33     = 3333

101 x 333   = 33633

101 x 3333 = ?

a) 33366333      b) 336633     c) 33633      d)  333303

Solution

Problem 9 :

Alicia, Brenda, and Colby were the candidates in a recent election for student’s president. The pie chart below shows how the votes were distributed among the three candidates. If Brenda received 36 votes, then how many votes were cast all together?

a) 70      b) 120     c) 170      d)  150

Solution

Problem 10 :

There are 3 squares in the figure below. The length of the smallest square is 6 cm. What is the length of the biggest square?

a) 8 cm      b) 10 cm    c) 12 cm      d)  15 cm

Solution

Problem 11 :

A village has a population of 13295 people. It increases by an average number of 400 people every year. In a recent survey, it was realized that the population of the village would increase by one less than the average number. What will be the population of village in the successive year assuming that nobody dies in the village in the considered years?

a) 13695      b) 13694    c) 13690     d)  13200

Solution

Problem 12 :

Volume of a box is found by multiplying its length, width and height. If the measure of volume of the box is 455 cubic cm. What could be its dimension?

a) 5 x 7 x 13       b) 3 x 5 x 11       c) 13 x 5 x 5     d)  It is prime

Solution

Problem 13 :

If a bus travels 160 km in 4 hours and a train travels 320 km in 5 hours at steady speed then what is the ratio of the distance travelled by bus and train in 1 hour?

a) 1 :  2      b) 4 : 5      c) 5 : 8     d)  8 : 5

Solution

Problem 14 :

A farmer planted 1890 tomato plants in a field, each row having 63 plants. A certain type of worm destroyed 18 plants in each row. How many plants did the worm destroy in the whole field?

a) 342      b) 540    c) 450     d)  756

Solution

Problem 15 :

What is the sum of first 4 multiples of 8?

a) 180      b) 100   c) 80     d)  32

Solution

Problem 16 :

A train departs from Berlin at 08:20. Usually it takes 8 hours and 35 minutes to reach Dresden. If the train delayed by 25 minutes then what time will be the train arrive Dresden?

a) 5:15 PM      b) 4:55 PM   c) 5:20 PM     d)  4:40 PM

Solution

Problem 17 :

Following tally chart shows the number of students and their favorite game

How many more students like cricket than basketball?

a) 14      b) 17      c) 8     d)  9

Solution

Problem 18 :

There are four unknown positive whole numbers.

The mean of the two smallest numbers is 3.

The mean of the three smallest numbers is 5.

The mean of all four numbers is 7.

All the numbers are different and odd.

What are the four numbers?

a) 3, 5, 7, 9      b) 6, 15, 28, 35      c) 2, 5, 3, 7     d)  1, 5, 9, 13

Solution

Problem 19 :

The scale in a diagram is 1cm represents 5000 cm. Find the actual length if the scale length is 4 cm

a) 5000 m      b) 504 m     c) 200 m     d)  2000 m

Solution

Problem 20 :

Xuen has £7500 in her bank account. She must pay each of her 7 employees a wage of £327 per week for 3 weeks. How much money will be remaining in her account?

a) £2289      b) £327     c) £6867     d)  £633

Solution

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