# Past Year Math Exam Papers Questions to try (O Level)

- The first four terms of a sequence are 13, 17, 21, 25.

(a) Write down the 7th term of the sequence.

Answer ……………………………………… [1]

(b) Write down an expression for the nth term of the sequence.

Answer ……………………………………… [1]

(c) Explain why 318 is not a term of this sequence.

Answer

……………………………………………………………………………………………

……………………………………………………………………………………….. [1]

–*Fairfield Methodist School 2023 *

- L is a line with a negative gradient and it has positive x- and y-intercepts. The value of y-intercept is five times the value of x-intercept. Given that the x-intercept is , find the equation of L.

……………………………………………………………………………………………

……………………………………………………………………………………….. [3]

*-Fairfield Methodist School 2023 *

- Rearrange the formula c = d2+5 / d2 −3 to make d the subject

……………………………………………………………………………………………

……………………………………………………………………………………….. [3]

*– Presbyterian High School 2023*

4 (a). Before departing London for Singapore, Peter bought 3000 Singapore dollars from the bank. The exchange rate between British pounds (£) and Singapore dollars ($) was £1 = $1.71. He also had to pay the bank an additional commission fee of 1.5% for the exchange of currency.

Calculate the total amount of pounds, inclusive of commission, he paid the bank.

Give your answer correct to the nearest pound.

……………………………………………………………………………………………

……………………………………………………………………………………….. [2]

*– Presbyterian High School 2023*

4 (b)(i) Peter bought a laptop while he was in Singapore. He paid $664.20 inclusive of the 8% GST (Goods & Services Tax) for the laptop after getting a discount of A% on the original price. The laptop’s original price is $750 before GST.

(i) Find the GST amount paid for the laptop.

(ii) Calculate the value of A.

……………………………………………………………………………………………

……………………………………………………………………………………….. [4]

*– Presbyterian High School 2023*

*Answers*

*1(a). 37 *

*1(b). 9 + 4n or 13 + 4(n-1) *

*1(c). n = 77 ¼ *

*Since n is not a positive integer, 318 is not a term of the sequence.*

*y = –5x + 2**d = ± √3c+5 / c-1*

*4 (a). Total amount before commission 3000/1.71 = £1754.385965 *

*Total amount inclusive of commission = 1754.385965 x 1.015 × ≈ £1781 *

*(i) 108% = $664.20 *

*8% = $664.20 x 8/108 = $49.20 *

*(ii) Discounted price before GST = 664.20- 49.20 = $615.00 *

*A= 750-615/750 x 100% *

*A= =135/750 x 100% = 18% *

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