Download ASSESSMENT Module 1 - E-CLP

ASSESSMENT
Module 1: Numbers and Operations
1. Determine the prime factors of the following
a. 154
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b. 2 520
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2. Determine the highest common factor of
a. 60 and 24
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b. 150, 1 000 and 2 000
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3. Determine the lowest common multiple of
a. 7 and 8
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b. 8 and 6
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4. Square these numbers:
a. 1
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b. 4
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c. 100
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ASSESSMENT
Module 1: Numbers and Operations
5. Find the square root of:
a. 1
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b. 4
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c. 100
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6. Find the cube of:
a. 1
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b. 8
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c. 27
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7. Find the cube root of
a. 1
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b. 8
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c. 27
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8. Complete the following addition equations:
a. (+15)+(+5) =
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b. (-15)+(+10) =
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ASSESSMENT
Module 1: Numbers and Operations
c. (+10)+(-5) =
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d. (-5)+(-20) =
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9. Complete the following subtraction equations:
a. (+7)-(+3) =
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b. (+12)-(-8) =
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c. (-18)-(-8) =
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d. (-27)-(+7) =
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10. Complete the following multiplication equations:
a. (+2)x(+8) =
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b. (+24)x(-3) =
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c. (-18)x(-6) =
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d. (-7)x(+26) =
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11. Complete the following division equations:
a. (+16)÷(+2) =
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ASSESSMENT
Module 1: Numbers and Operations
b. (+75) ÷ (-15) =
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c. (-144) ÷ (-3) =
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d. (-1 232) ÷ (+8) =
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12. Find equivalent fractions to these fractions with denominator of 24:
a. ¼
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b. ¾
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c.
5
/6
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d.
5
/8
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e.
7
/12
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f.
18
/24
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13. Simplify:
a. 15/60
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b.
44
/55
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ASSESSMENT
Module 1: Numbers and Operations
c.
32
/60
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d.
90
/20
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14. Convert these decimals to fractions in their simplest form
a. 0,7
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b. 0,8
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c. 0,13
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d. 0,64
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e. 0,05
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f.
0,031
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g. 0,125
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h. 0,004
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ASSESSMENT
Module 1: Numbers and Operations
15. Convert these fractions to decimals
a. 3/10
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b.
11
/100
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c.
123
/1 000
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d.
4
/5
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e.
8
/25
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f.
132
/250
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16. Convert these percentages to fractions in their simplest form
a. 53%
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b. 12%
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17. Convert these percentages to decimals
a. 47%
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b. 3%
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ASSESSMENT
Module 1: Numbers and Operations
18. Fill in the correct relationship sign (<,> or =)
a. 67 ____ 68
b. 6 + 5 ____ 6 – 5
c. 23 897 ____ 23 879
19. Arrange these numbers in (a) ascending order and then in (b) descending order:
23 ; 5 ; 89 456 ; 5 832
a. __________________________________________________________________
b. ___________________________________________________________________
20. Write the following in standard form:
a. 117,5
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b. 4 241
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c. 0,00014
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21. Multiply the following:
(4,1 x 10-3) x (8,4 x 107)
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22. Calculate the following:
a. 2,489 + 24,89
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b. 27,14 – 7,481
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c. 6,41 x 8,2
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ASSESSMENT
Module 1: Numbers and Operations
d. 9,345 ÷ 1,5
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23. Calculate:
a. 2/5 + 4/5
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b.
3
/10 + 2/5
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c.
11
/15 + ¾
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d. 41/2 + 31/3
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24. Calculate:
a. 4/5 – 2/5
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b.
2
/5 – 3/10
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c. ¾ - 11/15
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ASSESSMENT
Module 1: Numbers and Operations
d. 41/2 - 31/3
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25. Calculate:
a. ¾ x 1/5
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b.
4
/5 x 15/16
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c. 41/2 + 31/3
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26. Calculate:
a. ¾ ÷ 1/5
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b.
4
/5 ÷ 12/15
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c. 41/2 ÷ 31/3
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ASSESSMENT
Module 1: Numbers and Operations
27. Determine the answer: 9 ÷ 3 – (15 – 13) + 2/3 of 12 – 2 x 2
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28. Round off the following numbers to the nearest:
a. ten:
94 182
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b. hundred:
991 191
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c. thousand:
841 240
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d. hundredth:
999,999
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e. hundred thousand:
141 897
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f.
tenth:
3 484,014
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29. Show these number to the number of decimal places in brackets
a. 3,214
(2)
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b. 6,11777
(3)
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c. 0,29
(1)
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ASSESSMENT
Module 1: Numbers and Operations
30. Show these numbers to the number of significant figures in brackets.
a. 34,841
(3)
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b. 6,92162
(4)
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c. 0,0014821
(3)
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31. Write the ratio 240 : 300 in the simplest form.
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32. For every 4 books a press produces it uses 7 g of glue. How grams of glue will be
needed if 120 books are produced?
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33. Write the ratio 4 : 5 in the form 1 : n.
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34. Write the ratio 4 : 5 in the form m : 1
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35. Divide N$ 132 between two people A and B in the ratio 6 : 5.
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ASSESSMENT
Module 1: Numbers and Operations
36. Increase 45kg in the ratio 15 : 18
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37. Decrease 75 t in the ratio 15 : 5
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38. Jessica is a single mother working as a waitress. This table shows her income and
expenses for three weeks.
Wages
Tips
Groceries
Baby sitter
Rent
Week 1
N$ 500
N$ 100
N$ 250
N$ 100
N$ 125
Week 2
N$ 500
N$ 32
N$ 240
N$ 100
N$ 125
Week 3
N$ 500
N$ 75
N$ 260
N$ 100
N$ 125
Calculate her:
a. Total income per week
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b. Total expenses per week
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c. Total spending money per week
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The Institute of Information Technology, 2006
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ASSESSMENT
Module 1: Numbers and Operations
39. Determine the upper and lower bounds to the following:
a. 74cm which has been rounded to the nearest cm
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b. 9,42t which has been rounded to the nearest 10kg
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40. The dimensions of a rectangle are 1,45 cm and 2,43 cm, correct to three significant
answers.
a. Write down the range of possible values of each dimension.
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b. Find the upper and lower bounds of the perimeter of the rectangle.
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