Maths Test 003

Grade 8 Mathematics Test 003- 50 Marks

NAME: ……………………………………………………………………………………………………………..

SCHOOL: ………………………………………………………………………………………………………….

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

1. What is the total value of the digit 8 underlined below in expanded form? (3 marks) 

84,237,561

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

a) 38,472

b) 125,931

c) 8,634,209

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

a) Eighty-six million, four hundred and thirty-two thousand, one hundred and nine.

b) Write the following in words: 3,007,825

4. Express the following numbers as a product of their prime factors. (5 marks)

a) 150

b) 270

c) 432

5. Convert the following fractions to decimals. (4 marks)

a) 87​

b) 231​

6. Convert the following decimals to fractions in their simplest form. (4 marks)

a) 0.45

b) 3.75

7. Add the following fractions. (3 marks)

a) 21​+53​

b) 341​+132​

8. Multiply the following. (4 marks)

a) 32​×4

b) 1.2 x 0.5

9. The ratio of the lengths of the sides of a rectangle is 5:3. If the area of the rectangle is 105 square meters, find the length and width of the rectangle. (4 marks)

10. The sum of the angles in a triangle is 180 degrees. If one angle measures 63 degrees and another measures 47 degrees, find the measure of the third angle. (3 marks)

11. A train travels 360 kilometers in 6 hours. Find the speed of the train in kilometers per hour. (3 marks)

12. John bought 3.5 meters of cloth at Ksh 25 per meter.

a) How much did he pay for the cloth? (2 marks)

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