Plan Aid Academy Teacher Proficiency Test In Maths

1. Make S the subject of the relation p = s +?

S = + m

S = nr +

S =

2. If 23x = 325, ﬁnd the value of x?

7

6

5

4

3. The distance, d, through which a stone falls from rest varies directly as the square of the time, t, taken. If the stone falls 45cm in 3 seconds, how far will it fall in 6 seconds?

180cm

90cm

135cm

225cm

4. Which of following is a valid conclusion from the premise. "Nigeria footballers are good footballers"?

Joseph plays football in Nigeria therefore he is a good footballer

Joseph plays good football therefore he is a Nigerian footballer

Joseph is a good footballer therefore he is a Nigerian footballer

Joseph is a Nigerian footballer therefore he is a good footballer

5. An object is 6m away from the base of a mast. The angle of depression of the objectfrom the top of the mast is 50°, Find, correct to 2 decimal places, the height of the mast ?

7.15m

7.51m

8.60m

1.19m

6. On a map, 1cm represent 5km. Find the area on the map that represents 100km?

4cm

2cm

8cm

7. The graph of the relation y = x2 + 2x + k passes through the point (2, 0). Find the values of k

-2

-8

-4

Zero

8. The curved surface area of a cylinder 5cm high is 110cm . Find the radius of its base π =22 7

2.6cm

3.5cm

3.6cm

7.0cm

9. Simplify:( )?

15.00

75.00

8.66

3.87