Assessment Questions

Place and total value

1. i) What is the place value of digit 3 in the number 8 123 567?

    ii) What is the total value of digit 3 in the number 8 123 567?

2. i) What is the place value of digit 7 in the number 756 342?

    ii) Identify the total value of digit 7 in the number 756 342?

3. i) Identify the place value of digit 5 in the number 987 152 360?

    ii) What is the total value of digit 5 in the number 987 152 360?

4. Copy and complete the table below.

Writing numbers in symbols and in words

1. Write each of the following numbers in words.

     i) 4 081 010              ii) 2 501 903            iii) 6 329 157

     iv) 9 147 863            v) 290 476 908         vi) 95 286 107

2. Write the following numbers in figures.

    i) Five hundred and forty-two million, seven hundred and fifty-two thousand, three hundred and two.

   ii) Fifty four-million, seven hundred and ninety-two thousand, four hundred and fifty-one.

   iii) Six million, three hundred and ninety-nine thousand, one hundred and fifty-seven.

   iv) Three hundred and two million and one.

Squares and square roots of numbers.

1. Find the square of the following numbers.

   i) 9    ii) 21    iii) 35     iv) 72     v) 82    vi) 140    vii) 502

2. Work out the following

   i) 252  ii) 32 iii) 382  iv) 1302  v) 1402  vi)600

3. A square piece of paper is 10cm wide. Find the area of the square piece of paper.

4. Mwajuma has a square carpet in her house. The carpet is 9m long. Work out the area of the carpet.

5. Find the square roots of the following numbers.

  i) 324    ii) 576    iii) 1024   iv) 1296    v) 1764     vi) 8281

6. Work out the value of \({ \sqrt 36} + {\sqrt 400}\)

7. Two squares have a combined area of 810m2. If one of them has a side length of 9m, find the perimeter of the second square.

8. A wire 3.6m long was used to construct the cube below.

[Image]

One face was covered with a cardboard as shaded. What was the area of the cardboard?

9. A square has an area of 484 cm2. What is the difference in area if all the sides are doubled to create a larger square?

10. A piece of clothe measures 60cm by 4.5m. How many pieces of square table cloth of side 50cm can be made from it?

Convert the folowing fractions to decimals

1. \(4 \over 10\), 2. \(43 \over 10 000\), 3. \(1 {7 \over 8}\), 4. \(25 {2\over5}\), 5. \(29\over50\) 

Convert the following decimals to fractions

0.98, 0.865, 0.008, 0.6, 3.55, 15.4, 20.045, 8.075

Fractions to percentages

Percentages to fractions

Decimals to percentages

Percentages to decimals