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

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

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

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

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

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Fairfield Methodist School 2023

1. 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.

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-Fairfield Methodist School 2023

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

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– 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.

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– 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.

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– Presbyterian High School 2023

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.

1. y = –5x + 2
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%