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2A Math Support Programme Session 3

Total questions: 22

Worksheet time: 37mins

Name
Class
Date
1.

15 workers take 3 days to build a house.

Calculate the number of workers needed to build the same house in 1 day.

(a)  

2.

8 students take 4 days to complete a project.

How many students are needed to complete the same project in 2 days?

(a)  

3.

10 students take 5 days to clean the classroom.

Find the number of students required to clean the same classroom in 2 days.

(a)  

4.

A building can be completed in 120 days with 50 workers. Assuming that all the workers work at the same rate, find how many workers are required to complete the building in 100 days.

(a)  

5.

Given that y is directly proportional to x, when x = 3, y = 18. Write down the equation connecting y and x.

(a)  

6.

Given that y is directly proportional to x, when x = 5, y = 15. Write down the equation connecting y and x.

(a)  

7.

Given that y is directly proportional to x, when x = 8, y = 12. Write down the equation connecting y and x.

(a)  

8.

q is directly proportional to p.

When p = 4, q = 20.

Write down the equation connecting q and p.

(a)  

9.

Each interior angle of a regular polygon is 140 degrees.

Find the size of each exterior angle.

(a)  

10.

Each interior angle of a regular polygon is 135 degrees.

Find the size of each exterior angle.

(a)  

11.

Each interior angle of a regular polygon is 160 degrees.

Find the size of each exterior angle.

(a)  

12.

Each exterior angle of a regular polygon is 40 degrees.

Find the number of sides in that polygon.

(a)  

13.

Each exterior angle of a regular polygon is 45 degrees.

Find the number of sides in that polygon.

(a)  

14.

Each exterior angle of a regular polygon is 20 degrees.

Find the number of sides in that polygon.

(a)  

15.

A pentagon has 4 interior angles of 110°110\degree each.

Find the size of the remaining interior angle.

(a)  

16.

A pentagon has 4 interior angles of 100°100\degree each.

Find the size of the remaining interior angle.

(a)  

17.

An octagon has 7 interior angles of 140°140\degree each.

Find the size of the remaining interior angle.

(a)  

18.

An octagon has 7 interior angles of 150°150\degree each.

Find the size of the remaining interior angle.

(a)  

19.

ABCDE and PQRST are similar pentagons.  Calculate the length of DE.

(a)  

20.

Triangle ABC is similar to triangle XYZ.

Find BC.

(a)  

21.

Triangle ABC is similar to triangle PQR.

Find the value of x.

(a)  

22.

Triangle ABC is similar to triangle PQR.

Find the value of y.

(a)