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Clarus Maths Programme Mathematics 7 Plus Exam - Nigerian Watch

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<strong>Clarus</strong> <strong>Maths</strong> <strong>Programme</strong><br />

<strong>Mathematics</strong> 7 <strong>Plus</strong> <strong>Exam</strong><br />

Duration : 45 minutes<br />

Name : ………………………………………………….………………<br />

<strong>Exam</strong> No. : …………………………………………….………………<br />

Instructions :<br />

Work quickly and carefully.<br />

If you cannot do a question, miss it out and go onto the next one.


1) Write the degrees for the angles ‘a’ and ‘b’ shown in the diagram.<br />

a<br />

B<br />

2) How many degrees do the angles in a square add up to<br />

3) Use the graph below to draw a perfect circle.<br />

2 © Copyright <strong>Clarus</strong> Education Publications for Leaders are Readers


4)<br />

May 2009<br />

Sun Mon Tues Wed Thurs Fri Sat<br />

5 6 7<br />

a) Fill in the remaining days of May in the calendar.<br />

b) How many days are there in May 2009<br />

c) What is the day of May 24, 2009<br />

d) What was the day a week before May 1 st 2009<br />

e) What was the date the day before May 1 st 2009<br />

f) If today is 13 th May 2009, what will be the date in a fortnight’s time<br />

g) Charlie went to his uncle’s house on 19 th May. His uncle promised that he would give him<br />

a gift eight days later. When would Charlie receive the gift<br />

3 © Copyright <strong>Clarus</strong> Education Publications for Leaders are Readers


5) The following graph illustrates the favourite colours of different students in a class.<br />

25<br />

20<br />

22<br />

Number of students<br />

15<br />

10<br />

5<br />

12<br />

17<br />

8<br />

5<br />

0<br />

Red Blue Green Pink Black<br />

Colours<br />

a) Which is the most popular colour<br />

b) What is the total number of students in the class<br />

c) Which is the least popular colour<br />

d) What is the second most popular colour<br />

e) What is the difference between the number of students who liked the blue and black<br />

colours<br />

f) What is your favourite colour<br />

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6) Draw the lines of symmetry for the following shapes.<br />

a) b)<br />

7) Colour in one-eighth of the circle.<br />

8) Draw in the extra shapes to complete the reflections.<br />

a) b)<br />

c) d)<br />

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9) A car can accommodate 4 persons. If 44 persons are waiting to travel, how many cars<br />

are needed<br />

10) The fat man weighs 255 kg while the thin man weighs 83 kg. What is the difference in<br />

weight between them<br />

11) Sujana got about 8 litres of milk from her cow. She kept a quarter of the milk for her<br />

family and sold the remaining. Find out the amount of milk sold by Sujana.<br />

6 © Copyright <strong>Clarus</strong> Education Publications for Leaders are Readers


12) Tyler bought apples from the market. He kept 50% for himself and gave 10% to his friend,<br />

25% to his sister and the remaining for his mother. In the squares below, shade the<br />

portions representing each percentage. You may use the space below for working out.<br />

Himself<br />

Friend<br />

Sister<br />

Mother<br />

7 © Copyright <strong>Clarus</strong> Education Publications for Leaders are Readers


13) Complete the number square. The numbers<br />

in each row and column should add up to 14.<br />

5 4<br />

b) Add the numbers printed in the diagonal.<br />

7<br />

c) Double the middle number.<br />

8<br />

d) Find two pairs of numbers that add up to 13<br />

14) Write the missing numbers in the boxes:<br />

58 - 11 = 22 ÷ 2 = 231 + 45 =<br />

5 x 7 = 45 ÷ = 9 + 53 = 164<br />

x 3 = 27 15 ÷ 1 = 37 – = 9<br />

15) Use the signs +, -, x, ÷ or = to make the sums correct.<br />

a) 15 35 50<br />

b) 92 2 6 46<br />

c) 11 7 77 23 100<br />

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16) Fill in the digital and analogue clocks. Also write the minutes to the next hour.<br />

Minutes to next hour<br />

twenty to six<br />

ten past eleven<br />

half past two<br />

17) A flight departed at 11.10 A.M. But its original schedule was 20 minutes earlier. What was<br />

its original departure time<br />

9 © Copyright <strong>Clarus</strong> Education Publications for Leaders are Readers


18) Find the percentages of the following.<br />

a) 50% of 172 b) 25% of 160 c) 10% of 180<br />

19) Draw in all the missing lines.<br />

a) 99 divided by 11 50<br />

b) the sum of 31 and 19 35<br />

c) double 15 9<br />

d) 52 minus 17 27<br />

e) half of 134 24<br />

f) 4 multiplied by 6 67<br />

g) difference of 34 and 7 30<br />

20) Ben purchased bread for £4.30, butter for £5.50, jam for £3.20 and milk for £4.50. Find<br />

out the amount spent by him.<br />

21) Fill in the next number or letter in these patterns<br />

10 © Copyright <strong>Clarus</strong> Education Publications for Leaders are Readers


a) 42 47 52 57<br />

b) 90 80 70 60<br />

c) B F J N<br />

d) 15 24 33 42<br />

e) Make up a pattern of your own. Start with the letter D<br />

D<br />

22) Lewis played with three cards.<br />

1 3 2<br />

a) What is the sum of the largest number and the<br />

smallest number<br />

b) What is the smallest number he can make with<br />

just two cards<br />

c) What is the largest number he can<br />

make with all the three cards<br />

11 © Copyright <strong>Clarus</strong> Education Publications for Leaders are Readers


23) 5 children decided to water the plants in the garden.<br />

They wanted to divide the place equally between<br />

them.<br />

a) What fraction of the garden did they get<br />

This was one way they did it.<br />

b) Show some other ways for them to divide the garden equally.<br />

12 © Copyright <strong>Clarus</strong> Education Publications for Leaders are Readers


7 <strong>Plus</strong> Test Paper<br />

Answers<br />

1) a = 90 degrees B = 45 degrees<br />

2) 90 + 90 + 90 + 90 = 360 degrees<br />

3) Find the centre point of the square and place a dot there. With that point as the centre,<br />

place a dot at four points on the edge of the square at the north, east, south and west of<br />

the centre dot. Make sure each dot is the same number of squares away from the centre<br />

dot. Draw the same size curve in each quarter, to join one dot on the edge of the square<br />

to the next dot.<br />

4a)<br />

Sun Mon Tues Wed Thurs Fri Sat<br />

1 2<br />

3 4 5 6 7 8 9<br />

10 11 12 13 14 15 16<br />

17 18 19 20 21 22 23<br />

24 25 26 27 28 29 30<br />

31<br />

b) 31 c) Sunday d) Friday e) 30 th April 2009 f) 27 th May 2009<br />

g) 27 th May<br />

13 © Copyright <strong>Clarus</strong> Education Publications for Leaders are Readers


5a) Blue b) 12 + 22 + 17 + 8 + 5 = 64 c) Black d) Green e) 22 – 5 = 17<br />

6)<br />

a) b)<br />

7) Colour in one-sixth of the circle.<br />

8) Draw in the extra shapes to complete the reflections.<br />

a) b)<br />

c)<br />

9) 44 ÷4 = 11 cars<br />

14 © Copyright <strong>Clarus</strong> Education Publications for Leaders are Readers


10) 255 – 83 = 172 kg<br />

11) Amount kept for her family = 1 x 8 = 2<br />

4<br />

litres<br />

Amount sold = 3 x 8 = 6<br />

4<br />

litres<br />

12) Himself = 50 x 20 = 10 squares<br />

100<br />

Friend = 10 x 20 = 2 squares<br />

100<br />

Sister = 25 x 20 = 5 squares<br />

100<br />

Mother = 20 – (10 + 2 + 5) = 3 squares<br />

Himself<br />

Friend<br />

Sister<br />

Mother<br />

15 © Copyright <strong>Clarus</strong> Education Publications for Leaders are Readers


13a)<br />

5 5 4<br />

1 7 6<br />

8 2 4<br />

b) 8 + 7 + 4 = 19 c) 14 d) 8 and 5; 7 and 6<br />

14) 58 - 11 = 47 22 ÷ 2 =11 231 + 45 = 276<br />

5 x 7 = 35 45 ÷ 5 = 9 111 + 53 = 164<br />

9 x 3 = 27 15 ÷ 1 = 15 37 – 28 = 9<br />

15a) 15 + 35 = 50 b) 92 ÷ 2 = 46 c) 11 x 7 = 77 + 23 = 100<br />

16)<br />

Minutes to next hour<br />

twenty to six<br />

5.40<br />

20 minutes<br />

ten past eleven<br />

11.10<br />

50 minutes<br />

16 © Copyright <strong>Clarus</strong> Education Publications for Leaders are Readers


half past two<br />

2.30 30 minutes<br />

17) 10.50 A.M<br />

18a)<br />

50 x 172 = 86<br />

100<br />

b) 25 x 160 = 40<br />

100<br />

c) 10 x 180 = 18<br />

100<br />

19)<br />

a) 99 divided by 11 50<br />

b) the sum of 31 and 19 35<br />

c) double 15 9<br />

d) 52 minus 17 27<br />

e) half of 134 24<br />

f) 4 multiplied by 6 67<br />

g) difference of 34 and 7 30<br />

20) £ 17.5<br />

21a) 62 b) 50 c) R d) 51<br />

22a) 3 + 1 = 4 b) 12 c) 321<br />

23a) 3/15 or 1/5<br />

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