NUMBERS
LEVEL 1
1. Fill in the blanks, stating what the value of each digit is
a. 91296 = _____ + 8000 + 200 + ___ + ___
b. 1 604 301 = 1 600 000 + _____ + 4000 + 300 + ___
2. State the place value of the digit 5 in
a. 1 572 423
b. 0.521
3. Write the value of the digit 2 in the following
a. 285
b. 95200
c. 1520
d. 5402
4. Arrange the following numbers in descending order
-1.2 , 150% , -1 1/9 , 1.5
5. Arrange the following numbers in descending order.
a. 5.3, 5.25, 5.205
b. 2.91, 2.903, 2.95
6. Write down the following in numerals
a. 5.24 million
b. 6.022 billion
7. Round off each of the following numbers to 1 decimal place, 2 decimal places and 3 decimal places.
(a) 36.7247 (b) 2.8734 (c) 100.283
(d) 1.0049 (e) 0.9999 (f) 9.959
(f) 0.2139 (g) 5.3027
8. Round off each of the following numbers to 2 significant figures, 3 significant figures and 4 significant figures.
(a) 483.86 (b) 248999 (c) 15.795
(d) 0.59 974 (e) 18932 (f) 37.649
9. Round (1/13/1/3/T)
a. 25.6389 correct to 2 decimal places
b. 506423 correct to 3 significant figures
c. 0.00678472 correct to 4 significant figures
10. Correct 975.38 to
a. 1 decimal place
b. 1 significant figure
c. to the nearest ten
11. Write down the next three items of the following sequences
a. 13, 16, 19, . . .
b. 6, 17, 28, 39
12. Express 1 2/5 as
a. a decimal
b. a percentage
13. Express 1/25 as a decimal. (1/13/p1/1b)
14. Convert 100 kilometres per hour into metres per second. (2/13/1/2/T)
15. Fill in the boxes with < , > or =
16. Use <, > or = to complete each of these statements. (1/14/2/4/T)
a. 1/3 ___ 0.3
b. 12 ½% ______ 1/8
c. 7/12 _______ 5/9
d. -2 [ ] -3
17. Complete the number line.
<——|——|——|——|——|——|——|——|——|
-6 ___ ___ 3. 6. ___ 12 15 ____
18. List all the prime numbers between 20 and 35
19. Find the HCF and LCM 36 and 80.
20. Write all the factors of number 118.
21. Find the prime factorization of 214.
22. Write the prime factorization of 18 x 21.
23. Find the LCM of the following numbers 42 and 124
LEVEL 2
1a. Express 180 as the product of its prime factors (1/10/p1/3/A)
1b. Write down the smallest positive integers, k, such that 180k is a perfect square.
2. Write all the factors, prime factorization and index notation of 64.
3. Find the fraction exactly halfway between ¾ and 3/5. Give your answer in its simplest form. (2/11/p1/8/A)
4a. Write 156 as a product of its prime factors. [1]
4b. Find the highest common factor of 156 and 390 [2]
FOUR OPERATIONS
Level 1
1. Find the value of the following.
a. 3 + 6 ÷ (2.5 + 2.5)
b. 12 - 8 ÷ (3 + 1)
2. By rounding each number to the nearest whole number, estimate the value of
a. 38.4 - 2.0 x (8.5 + 2.2). Show your working.
b. 30.1 - 6.0 x (0.5 + 2.4) - 4.8
3. By rounding each number to 1 significant figure, estimate the value of
a. 12 x 27.25
19 + 11
b. 21.2 x 2.3
33 - 11
4. A pen costs $2.75. Round the cost of the pen to the nearest dollars and estimate the cost of 8 pens.
5. Amy has $4.80 in her pencil case and $22.50 in her wallet.She bought 2 pens that cost $1.80 and 1 pencil that cost $0.85
a. How much money has she left?
b. Round the amount she left to the nearest dollar, and find the amount of money she needed to have $50.
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