EHLANZENI DISTRICT
INSIKAZI CIRCUIT
GRADE 10
MATHEMATICS
TERM 4 TEST
21 OCTOBER 2025
MARKS: 50 TIME: 1 HOUR
INSTRUCTIONS AND INFORMATION
Read the following instructions carefully before answering the questions.
1. This question paper consists of FOUR questions.
2. Answer ALL the questions.
3. Clearly show ALL calculations, diagrams, and etcetera that you have used in
determining your answers.
4. ANSWER ONLY will not necessarily be awarded full marks.
5. You may use an approved scientific calculator (non-programmable and nongraphic),
unless stated otherwise.
6. Round off to TWO decimal places unless stated otherwise.
7. Diagrams are not necessarily drawn to scale.
8. Number the answers correctly according to the numbering system in this question
paper.
9. Write legibly and present your work neatly.
Question 1
1.1 Seven years ago, Mrs Grey decided to invest R1800 in a bank account that
paid simple interest at 4,5% p.a.
1.1.1 Calculate how much interest Mrs Grey has earned over the 7 years. (2)
1.1.2 Mrs Grey wants to buy a television set that costs R27 660,00 now. If the
average rate of inflation over the last 5 years was 6,7% p.a., calculate the cost
of the television set 5 years ago. (3)
1.1.3 At what rate of simple interest should Mrs Grey have invested her money 7
years ago if she intends buying the television set now using only her original
investment of R18 000 and the interest earned over the last 7 years? (3)
1.2 On a certain day the exchange rate between the US dollar and South African rand
is $1=R12,91. At the same time the exchange rate between the British pound and
the South African rand is £1=R16,52.
Calculate the exchange rate between the British pound and the US dollar on that
day. (2)
1.3 The following advertisement appeared with regard to buying a bicycle on a
hire-purchase agreement loan:
Purchase price R5 999
Required deposit R600
Loan term Only 18 months, at 8% p.a. simple interest
1.3.1 Calculate the monthly amount that a person has to budget in order to pay for the
bicycle. (6)
1.3.2 How much interest does one have to pay over the full term of the loan? (1)
[17]
QUESTION 2
The diagram below shows a pattern of dots:
2.1 Draw the fifth figure. (1)
2.2 Determine the 𝑛𝑡ℎ term for this pattern. (2)
2.3 How many dots will there be in figure 30? (2)
2.4 Which figure will have 136 dots? (3)
[8]
QUESTION 3
3.1. Consider the linear sequence: 5; 8; 11; b; l7,...
3.1.1 Write down the value of b. (2)
3.1.2 Determine the nth term of the sequence (2)
3.1.3 Calculate the value of the 15th term of the sequence. (2)
3.1.4 Which term in the sequence is equal to 83? (2)
3.2 Consider the number pattern: 7𝑥 2 ; 5𝑥 2 − 2𝑥; 3𝑥 2 − 4𝑥
3.2.1. Show whether the pattern is linear or not (5)
)
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8]
4
2
4.1
4.2
4.2.1
4.2.2
4.3
[12]
TOTAL MRKS: 50
Formulae:
𝑺𝒖𝒓𝒇𝒂𝒄𝒆 𝒂𝒓𝒆𝒂 𝒐𝒇 𝒂 𝒔𝒑𝒉𝒆𝒓𝒆 = 4𝜋𝑟2
4
𝑽𝒐𝒍𝒖𝒎𝒆 𝒐𝒇 𝒂 𝒔𝒑𝒉𝒆𝒓𝒆 = 𝜋𝑟3
3
𝒔𝒖𝒓𝒇𝒂𝒄𝒆 𝒂𝒓𝒆𝒂 𝒐𝒇 𝒂 𝒄𝒐𝒏𝒆 = 𝜋𝑟2 + 𝜋𝑟𝑠
1
𝒗𝒐𝒍𝒖𝒎𝒆 𝒐𝒇 𝒂 𝒄𝒐𝒏𝒆 = 𝜋𝑟2ℎ
3
1
𝒗𝒐𝒍𝒖𝒎𝒆 𝒐𝒇 𝒂 𝒑𝒚𝒓𝒂𝒎𝒊𝒅 = 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑡ℎ𝑒 𝑏𝑎𝑠𝑒 × ℎ𝑒𝑖𝑔ℎ𝑡
3
𝑻𝒐𝒕𝒂𝒍 𝒔𝒖𝒓𝒇𝒂𝒄𝒆 𝒂𝒓𝒆𝒂 𝒐𝒇 𝒂 𝒑𝒚𝒓𝒂𝒎𝒊𝒅
1
= 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑡ℎ𝑒 𝑏𝑎𝑠𝑒 + (𝑝𝑒𝑟𝑖𝑚𝑒𝑡𝑒𝑟 𝑜𝑓 𝑡ℎ𝑒 𝑏𝑎𝑠𝑒 × 𝑠𝑙𝑎𝑛𝑡 ℎ𝑒𝑖𝑔ℎ𝑡)
2
𝑽𝒐𝒍𝒖𝒎𝒆 𝒐𝒇 𝒂 𝒄𝒚𝒍𝒊𝒏𝒅𝒆𝒓 = 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑏𝑎𝑠𝑒 × ℎ𝑒𝑖𝑔ℎ𝑡 = 𝜋𝑟2 × ℎ
𝑻𝒐𝒕𝒂𝒍 𝒔𝒖𝒓𝒇𝒂𝒄𝒆 𝒂𝒓𝒆𝒂 𝒐𝒇 𝒂 𝒄𝒚𝒍𝒊𝒏𝒅𝒆𝒓 = 2 × 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑏𝑎𝑠𝑒 + 𝑝𝑒𝑟𝑖𝑚𝑒𝑡𝑒𝑟 𝑜𝑓 𝑐𝑖𝑟𝑐𝑙𝑒 × ℎ𝑒𝑖𝑔ℎ𝑡
= 2𝜋𝑟2 + 2𝜋𝑟ℎ
