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Mathematics Standard 8 Question Paper

Mathematics Standard 8

Course:Primary Level

Exam Year:2005

Mathematics KCPE Revision.

TOPIC: PYTHAGOREAN RELATIONSHIP/RIGHT BOILED TRIANGLES.

1. The top of a 25 m ladder leans on a vertical wall with its lower end touching the ground. Which one of the following sets of measurements represents the height of the wall and the horizontal distance of the ladder from the wall?

A. 12 m and 3 m
B. 3 m and 4 m
C. 5 m and 12 m
D. 7 m and 24 m

2. Which one of the following sets of measurements can be used to construct a right-angled triangle?

A. 4 1/2 cm, 6 cm, 9 cm
B. 6 3/4 cm, 5 1/4 cm, 6 cm
C. 2 1/4 cm, 3 cm, 3 3/4 cm
D. 5 1/4 cm, 9 cm, 11 1/4 cm

3. Which one of the following sets of measurements will give a right angled triangle?

A. 0.5 cm, 1.2 cm, 1.3 cm
B. 0.9 cm, 1.6 cm, 2.5 cm
C. 1 cm, 0.3 cm, 0.4 cm
D. 0.3 cm, 0.3 cm, 0.4cm

4. Mutiso requires a set of three measurements on a rope to mark a square in his farm. Which would he use?

A. 1.4m, 2.0m, 2.4m
B. 1.5m, 2.0m, 2.5m
C. 3.3m, 4.0m, 5.4m
D. 0.9m, 1.6m, 2.5m

5. A rectangle measures 6cm by 2 1/2 cm. What is the length of the diagonal in cm?

6. The diagonal of a rectangle measures 6.5cm. If the side of the rectangle measures 2.5cm, what is the measurement of the other side in cm?

7. From which of the following set of lines can a right-angled triangle be drawn?

A. 3cm, 4cm, 7cm
B. 4cm, 5cm, 6cm
C. 9cm, 12cm, 15cm
D. 9cm, 16cm, 25cm

8. A plot of land is in the shape of a right-angled triangle. The length of the longest side measures 26 metres while one of the shorter sides measures 10 metres. What is the value of the plot in square metres?

10. Kirwa used a ladder to paint the top of a wall. He placed the bottom of the ladder 4 1/2 metres away from the wall. The ladder touched the wall at a height of 6 metres. What was the length of the ladder?

Mathematics Standard 8 Question Paper

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