NBT NBT Academic and Quantitative Literacy 2

Question 1

A street vendor in Cape Town sells bundles of firewood. He buys each bundle for R24 and sells it for R30. What is his percentage profit on the cost price?

Accepted Answer

25%

Answer

Profit = R30 - R24 = R6. Percentage profit = (R6 ÷ R24) × 100 = 25%.

Question 2

The table below shows the number of learners who passed Grade 12 in a province over four years:

Year | Passed
2019 | 45 000
2020 | 48 600
2021 | 46 800
2022 | 52 200

By what percentage did the number of passes increase from 2019 to 2022?

Accepted Answer

16%

Answer

Increase = 52 200 − 45 000 = 7 200. Percentage increase = (7 200 ÷ 45 000) × 100 = 16%.

Question 3

A pie chart shows how a municipality spends its R5 million budget. The sector for roads represents 72°. How much money is allocated to roads?

Accepted Answer

R1 000 000

Answer

Fraction of budget = 72° ÷ 360° = 0.2 = 1/5. Amount = 1/5 × R5 000 000 = R1 000 000.

Question 4

A family's monthly grocery bill increased from R3 200 to R3 680. By what percentage did it increase?

Accepted Answer

15%

Answer

Increase = R3 680 − R3 200 = R480. Percentage increase = (R480 ÷ R3 200) × 100 = 15%.

Question 5

A bar graph shows commuter numbers using different transport modes in Durban:
- Private car: 4 500
- Minibus taxi: 7 200
- Bus: 3 600
- Train: 2 700

What fraction of all commuters use the minibus taxi?

Accepted Answer

2/5

Answer

Total commuters = 4 500 + 7 200 + 3 600 + 2 700 = 18 000. Fraction using taxi = 7 200 ÷ 18 000 = 2/5.

(NBT) National Benchmark Test Practice Test

(NBT) National Benchmark Test Practice Test

NBT NBT Academic and Quantitative Literacy 2