1. List all of the factors of:
a. 18
b. 25
c. 60
2. List the first four multiples of:
(a) 9 (b) 12 (c) What is the lowest common multiple of 9 and 12?
3. List the factors of: (a) 30 (b) 24 (c) What is the highest common factor of 30 and 24?
4. Which of the following are prime numbers: 23, 56, 31, 2, 39, 51, 1, 11
5.Write these numbers as a product of their prime factors. (a) 30 (b) 18 (c) 60
6. Calculate (without a calculator):
a. |
b. |
c. |
d. 53 |
e. (3.1) 2 |
f. (0.6) 2 |
7. Find the reciprocals (without a calculator) of:
a. 4 |
b. 0.5 |
c. 25 |
d. 7⁄10 |
e. 94⁄5 |
f. 100 |
8. Write the following numbers as ordinary decimals:
(a) 6.15 × 10 4 (b) 5.61 × 10 - 2 (c) 9 × 10 3
9. Use a calculator to evaluate (find the value of):
a. Reciprocal of 200 | b. Square of 23 | c. Cube root of 4913 |
d. Square root of 3364 | e. Cube of 27 | f. 982 |
g. Reciprocal of 0.04 | h. √2025 | i. 343 |
j. Calculate 3.4 × 103 + 4.6 × 102 | k. 3.15 × 4.53 (to nearest whole number) |
l. Cube of 1.45 |
m. 3⁄4 + 2⁄3 | n. 4⁄5 ÷ 2⁄3 | o. 31⁄2 × 13⁄7 |
10. Draw a number line and show the following sets of numbers:
a. {-2, -1, 0, 1, 2, 3, 4}
b. {x where -5 ≤ x < 2} where x is an integer.
c. {x where x > -2} where x is a real number.