Maths Test 002

Grade 8 Mathematics Test 002- 50 Marks

NAME: ………………………………………………………………………………………………………………

SCHOOL: ……………………………………………………………………………………………………………

Instructions: Answer all questions. Show your work for full credit. Total Marks: 50

1. What is the place value of the digit 3 underlined in the number below? (3 marks)

347,219,856

2. Round off the following numbers to the nearest ten. (3 marks)

a) 427

b) 8,534

c) 231,987

3. Write the following numbers in symbols. (4 marks)

a) Twenty-nine million, six hundred and fifty-four thousand, three hundred and two.

b) Write the following in words: 105,789,231

4. Express the following numbers as a product of their prime factors. (4 marks)

a) 70

b) 180

c) 272

d) 36

5. Solve the following equations. (6 marks)

a) 7x - 4 = 20

b) 3y + 2 = -7

c) 4(z + 1) = 16

6. The perimeter of a rectangle is 48 centimeters. Its length is 12 centimeters. Find the width of the rectangle. (3 marks)

7. 
   

8. The ratio of the lengths of two sides of a right triangle is 5:12. If the hypotenuse (longest side) is 13 centimeters, find the length of the shorter side. (4 marks)

9. Simplify the following expressions. (4 marks)

a) 3m + 5n - 2m + 4n

b) 2x^2 - 3x + x^2 + 5x

9. The angles in a triangle add up to 180 degrees. If one angle measures 65 degrees and another measures 38 degrees, find the measure of the third angle. (4 marks)

10. A bus travels 300 kilometers in 6 hours. Find the speed of the bus in kilometers per hour. (3 marks)

11. John bought 2.5 meters of cloth at Ksh 18 per meter.

a) How much did he pay for the cloth? (3 marks)

b) If he gave the shopkeeper a Ksh 100 note, how much change did he receive? (3 marks)

12. A rectangular garden is 15 meters long and 10 meters wide.

a) Calculate the area of the garden in square meters. (3 marks)

b) If 1 meter square of fencing costs Ksh 20, find the total cost of fencing the garden. (3 marks)