TERM 1: FINANCIAL MATHS & MEASUREMENT
(50 Marks)
Question 1: Finance (20 Marks)
1.1 Calculate the compound interest on R12,000 invested at p.a. compounded annually for 3 years.
(5)
1.2 A person takes a loan of R250,000 at an interest rate of p.a., repayable over 5 years. Calculate
the total amount paid back if interest is simple interest. (5)
1.3 A business purchases stock worth R15,000 and adds a mark-up of . Calculate the selling price.
(3)
1.4 Convert an annual interest rate of into a monthly interest rate. (2)
1.5 If VAT is , calculate the VAT amount payable on a product costing R5,200. (2)
1.6 Convert $1 = R18.25. How much is $120 in Rands? (3)
Question 2: Measurement (15 Marks)
2.1 A rectangular swimming pool measures . Calculate the volume of the pool. (3)
2.2 Convert into litres. (2)
2.3 A scale drawing uses a scale of 1:50. If the length of a room on the drawing is , what is the real
length in meters? (3)
2.4 A garden is 12m long and 5m wide. Calculate the total fencing needed if all sides are fenced.
(2)
2.5 Convert to meters per second. (3)
2.6 A car uses litres per . How much fuel is needed for a journey? (2)
Question 3: Data Handling (15 Marks)
3.1 The following are the ages of employees in a company: 23, 25, 29, 30, 34, 34, 36, 40, 42, 45.
Calculate the mean, median, and mode. (6)
3.2 The probability of rain on a given day is . What is the probability of no rain? (2)
3.3 Interpret the following statement: "A survey showed that of teenagers prefer online shopping."
What does this mean in practical terms? (2)
3.4 A pie chart shows that of people prefer jogging, prefer cycling, and the rest prefer swimming.
What percentage prefers swimming? (2)
3.5 A class test had the following marks: 40, 50, 60, 70, 80, 90. Represent the data in a bar graph.
(3)
TERM 2: PATTERNS, RELATIONSHIPS & MAPS
(50 Marks)
Question 1: Patterns & Relationships (20 Marks)
1.1 Identify the pattern in the sequence: 5, 10, 20, 40, 80, ... and determine the next two terms. (4)
1.2 Solve for in the equation: (3)
1.3 A factory produces n items daily. The total production cost in rands is given by: Find the cost if
n = 100. (3)
1.4 A car’s value depreciates by 15% per year. If it was bought for R200,000, calculate its value
after 3 years. (5)
1.5 Interpret the following graph showing the number of COVID-19 cases over time. Explain the
trend. (5)
Question 2: Maps & Navigation (15 Marks)
2.1 A city map has a scale of 1:25,000. If the distance between two landmarks is 8 cm on the map,
what is the real-world distance in km? (3)
2.2 Convert 150 miles to kilometers. (2)
2.3 A route is 200 km long. A car traveling at 80 km/h takes how long to complete the trip? (3)
2.4 A map shows a triangular park with base 500m and height 300m. Calculate the area. (3)
2.5 A pilot flies 600 km east and 800 km north. Using Pythagoras' theorem, calculate the
straight-line distance from the starting point. (4)
TERM 3: GRAPHS, TIME, AND APPLICATIONS
(50 Marks)
Question 1: Graphs (20 Marks)
1.1 A mobile phone contract costs R200 per month plus 50c per minute of calls. Represent this
as an equation and sketch the graph for 0 to 200 minutes. (5)
1.2 A company’s profit over the last 5 years is given in the table. Plot this data and describe the
trend. (5)
1.3 Find the gradient of the straight line passing through (2,3) and (5,7). (4)
1.4 A quadratic function is given as: Find the roots of the function. (6)
Question 2: Time & Scheduling (15 Marks)
2.1 Convert 4.5 hours into minutes. (2)
2.2 A flight departs at 10:45 AM and arrives 5 hours 20 minutes later. What is the arrival time?
(3)
2.3 A factory operates in shifts of 6 hours each. How many full shifts occur in a day? (3)
2.4 A bus leaves Johannesburg at 08:15 AM and takes 6 hours 45 minutes to reach Durban.
What time does it arrive? (3)
2.5 A train takes 2 hours 30 minutes to travel 300 km. What is its average speed? (4)
Question 3: Applications (15 Marks)
3.1 A shop discounts a R450 item by 12%. What is the new price? (3)
3.2 A school orders 320 books at R25 per book. What is the total cost? (3)
3.3 An employee earns R15,000 per month. If tax is 18%, how much do they take home? (3)
3.4 A meal originally costing R120 increases by 8%. What is the new price? (3)
3.5 A company’s sales increased from R500,000 to R620,000. Calculate the percentage
increase. (3)
TERM 4: INTEGRATED APPLICATIONS &
REVISION (50 Marks)
Question 1: Financial Decisions & Budgeting (20 Marks)
1.1 A household earns R25,000 per month and has the following expenses:
Rent: R8,000
Groceries: R4,500
Transport: R3,500
Other expenses: R6,000 Calculate the remaining amount after all expenses. (3)
1.2 A business had a turnover of R500,000 and a profit margin of 18%. Calculate the profit. (3)
1.3 A car loan requires a monthly payment of R4,200 for 5 years. Calculate the total amount paid
over the loan period. (4)
1.4 A customer buys a fridge on a hire purchase agreement with an initial deposit of R2,500 and
24 monthly payments of R800. Calculate the total cost of the fridge. (4)
1.5 If the inflation rate is 6%, how much will a product costing R2,000 cost after 1 year? (6)
Question 2: Advanced Graph Interpretation (15 Marks)
2.1 A line graph shows a company's sales over 12 months. Describe the trend in three sentences.
(3)
2.2 A bar chart compares the monthly expenses of three families. Identify the highest and lowest
expense categories. (4)
2.3 The equation of a demand curve is: If P = 50, calculate Q. (4)
2.4 A graph represents an exponential function. Identify the asymptote and explain its meaning
in context. (4)
Question 3: Integrated Problem Solving (15 Marks)
3.1 A water tank holds 10,000L. A household uses 750L per day. How many full days will the water
last? (3)
3.2 A recipe calls for 2.5 cups of flour per batch. How much flour is needed for 8 batches? (3)
3.3 A solar panel produces 5 kWh per day. If a household requires 150 kWh per month, calculate
how many panels are needed. (4)
3.4 The distance between two towns is 240 km. A car traveling at 80 km/h leaves at 8:00 AM.
What time will it arrive? (5)