ARITHMETIC KNOWLEDGE ASSESSMENT QUESTIONS

Duration: 2 hours
Marks: 42

1. Which number is a negative integer?

a) −115
b) √9
20
c)
0
3
d) − 3
2. Which number is a whole number?
a) 1,45
20
b)
0
12
c) 3
1
d) −1
5
3. Which number is a rational number?
a) 𝜋
20
b) 0
c) √9
d) √−9
4. Which number is non-real?
a) √−9
b) 𝜋
1
c) −1 5
0
d) 7
5. Which number is an even number?
a) 1,45
20
b) 0
12
c) 3
1
d) −1
5
6. Round off 6 082 966 429 to four significant digits.
a) 6 083 000 00
b) 6 483 000 000
c) 6 000 000 000
d) 6 083 000 000
7. Round off 756 mm to the nearest 10
a) 800 mm
b) 755 mm
c) 760 mm
d) 700 mm
8. What is a group of 12 called?
a) A pair
b) A quartet
c) A dozen
d) A hexad
9. What is 3 587 462 in words?
a) Thirty five million eighty seven thousand four hundred and sixty two
b) Three million five hundred and eighty seven thousand four hundred and sixty two
c) Three hundred and fifty eight million seven thousand four hundred and sixty two
d) Three million fifty eight hundred thousand four hundred and sixty two

10. What is 63 832 102 403 in words?

a) Sixty three billion eight hundred and thirty two million one hundred and two
thousand four hundred and three
b) Sixty three thousand eight hundred and thirty two million one hundred and two
thousand four hundred and three
c) Sixty three billion eight and thirty two thousand one hundred and two million four
hundred and three
d) Sixty three thousand million eight thirty two million one hundred and two thousand
four hundred and three

11. What is 72 304 205 in words?

a) Seventy two three hundred and four thousand two hundred and five
b) Seventy two billion three hundred and four thousand two hundred and five
c) Seventy two million three hundred and four thousand two hundred and five
d) Seventy two thousand three hundred and four hundred and five

12. What is 78 539 in words?

a) Seven thousand eight hundred five hundred and thirty nine
b) Seven million eight thousand five hundred and thirty nine
c) Seven hundred and eighty five thousand and thirty nine
d) Seventy eight thousand five hundred and thirty nine

13. Calculate without using a calculator, 3,052 + 0,688

a) 3,74
74
b) 3100
c) 3,740
187
d) 50

14. Calculate without using a calculator, 5,671 + 3,47

a) 9,141
9141
b) 1000
c) 9141
1000
d) 9,14
3
15. Calculate with the use of a calculator: √12 + √16. Round off to 2 decimal places.
a) 6,28
b) 6,29
c) 6,289
d) 6.00
16. Calculate with the use of a calculator: 216 ÷ √30. Round off to 2 decimal places
a) 39,436
b) 39,00
c) 39,44
d) 39,43
5
17. Calculate with the use of a calculator: 8 of R235 . Round off to 2 decimal places
a) R 146, 875
b) R146, 87
c) R146, 88
d) R147, 00

18. Calculate with the use of a calculator: 7,41 × (36,7 − 40,5). Round off to 2 decimal places
a) -28, 15
b) -28, 00
c) -28, 16
d) -28, 158

19. Which statement is true?

4
a) > 0, 81
5
4
b) 0, 81 > 5
4
c) 0,81 = 5
d) None

20. Which statement is true?

2
a) 0,666 > 3
2
b) 0,666 <
3
2
c) 0,666 = 3
d) None

21. Which statement is true?

6 5
a) 20 < 15
6 5
b) 20
> 15
6 5
c) =
20 15
d) None

22. Which statement is true?

10 2
a) < 1
12 3
10 2
b) 12
> 13
10 2
c) = 13
12
d) None

2 3 3
23. Consider 3 of (2 ÷ 4), which of the following is one of the steps of the sum.
2 3 3
a) ×( × )
3 2 4
2 2 3
b) 3
× (3 × 4
)
2 3 4
c) 3
× (2 × 3
)
 2 3 4
d) 3
× (2 ÷ 3)

−8 1
24. Consider 12 + 3(−1)(−2) × 1 4, which of the following is one of the steps of the sum.
−8 5
a) 12
+6×4
−8 5
b) 12
+ 6 × 14
80 1
c) 12
×14
d) None

5 5 5
25. Consider ÷ ( + ), which of the following is one of the steps of the sum.
9 3 3
5 10
a) 9
×(6)
5 3
b) ×( )
9 10
5 10
c) ÷( )
9 6
d) None

1 5 5
26. Consider 3 2 × 1 6 − 2 12, which of the following is one of the steps of the sum.
7 7
a) 2
× (− 12)
7 11 29
b) 2
× 6 + 12
77 29
c) 12
− 12
d) None

3 7
27. Arrange the following in descending order: ; 0,625;
4 8
3 7
a) 0,625; 4 ; 8
7 3
b) ; ; 0,625
8 4
3 7
c) ; ; 0,625
4 8
d) None

6 13
28. Arrange the following in descending order: 0,85; 2 ; 15
6 13
a) 0,85; 2 ; 15
6 13
b) ; ; 0,85
2 15
13 6
c) 15
; 0,85; 2
d) None
Answer questions 29 – 31 based on the following statement and table. Busisiwe works as a casual
waitress in a coffee shop. To manage her income, she draws up the following budget for herself
(with all amounts in rand):

INCOME EXPENDITURE
Nett Salary 5 680 Medical Aid 650
Rent 2 500
Food 1 050
Transport 215
Electricity 200
Phone 165
Clothing 275
Entertainment 250
Emergency Fund 150
Savings 225
Total 5 680 Total 5 680

29. What % of her budget does Busisiwe allocate towards food? Round off your answer to the
nearest %.
a) 18,49%
b) 19%
c) 18%
d) 20.5%

30. According to her budget, what are Busisiwe’s four top priorities?
a) Medical Aid, rent, Food, Transport
b) Medical Aid, Rent, Food, Clothing
c) Electricity, Phone, Rent, Food
d) Phone, Clothes, Rent, Food

31. Due to an increase in the petrol price, the amount that Busisiwe spends on transport
increases by 12%. Calculate the new amount that she will spend on transport.
a) R240,8
b) R240
c) R249
d) R 248,80

32. If the value of Mary’s car decreases from R105 000 to R75 000 after six years, what
percentage decrease is this? Round off your answer to two decimals.
a) -28,60%
b) -28,57%
c) -29%
d) 28,57%
 33. Give 2 differences between a ratio and a rate
a) Rates use colons, ratios use arrows to separate numbers; rates compare numbers
with same units, ratios compares numbers with unrelated units
b) Ratios use colons, rates use arrows to separate numbers; ratios compare numbers
with same units, rates compares numbers with unrelated units
c) They are the same thing, just different terms

34. Divide 2, 5 h in the ratio 7 : 3 and give your answer in minutes.

a) 50min & 90min
b) 100min & 50min
c) 105min & 45min
d) 50min & 105min

35. The ratio of the distance a motorist travelled to distance a cyclist travelled is 40 : 3. How far
did the motorist travel if the cyclist travelled 21 km?
a) 480km
b) 280km
c) 265km
d) 320km

36. Four tickets to the movies cost R70, 00. What is the cost of nine tickets?
a) R125, 80
b) R160, 00
c) R185, 20
d) R157, 50
Answer questions 37 – 39 based on the following statement: A car uses 6 ℓ of fuel per 90 km.
37. What is the car’s fuel consumption in km per ℓ?
a) 18km/L
b) 15 km/L
c) 10km/L
d) 25km/L

38. What is the car’s fuel consumption in ℓ per 100 km?

a) 6,50 L/100km
b) 5 L/100km
c) 6,67 L/100km
d) 7 L/100km

39. How many litres of fuel are needed for a journey of 810 km?
a) 45L
b) 55L
c) 54L
d) 50L

40. Khaya Builders asks R4 800 for 8 hours’ work, while Rex Builders asks R6 660 for 12 hours’
work. Which company’s tariff is the highest per hour?
a) Tariffs are equal
b) Rex Builders
c) Khaya Builders
41. 900 g of jam costs R9, 99. Calculate the price of 1, 5 kg of jam.
a) R16,00
b) R16,65
c) R17,00
d) R16,50

42. If €1 = R14, 14 what will you pay for €250?

a) R2680
b) R3650
c) R3500
d) R3535