2026 GDLSS P1 QP

Name:____________________________ ( ) Class:________ TG : _______ This document consists of 21 printed pages, including this cover page. Greendale Secondary School 2026 GREENDALE SECONDARY SCHOOL Preliminary Examination 2026 MATHEMATICS 4052/01 Paper 1 12 August 2026 Secondary 4 EXP / 5 N(A) 2 hours 15 minutes Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your index number and name in the spaces at the top of this page. Write in dark blue or black pen. You may use an HB pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. Answer all questions. If working is needed for any question it must be shown with the answer. Omission of essential working will result in loss of marks. The use of an approved scientific calculator is expected, where appropriate. If the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to three significant figures. Give answers in degrees to one decimal place. For π, use either your calculator value or 3.142, unless the question requires the answer in terms of π . The number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 90. Question Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Strand Marks Question Q15 Q16 Q17 Q18 Q19 Q20 Q21 Q22 Q23 Q24 Q25 Q26 Q27 Strand Marks 90

Greendale Secondary School 2 Secondary 4 Express / 5N(A) Preliminary Examination 2026 Mathematics Paper 1 Mathematical Formulae Compound interest Total amount = n rP      + 1001 Mensuration Curve surface area of a cone = πrl Surface area of a sphere = 4πr2 Volume of a cone = 3 1 πr2h Volume of a sphere = 3 4 πr3 Area of triangle ABC = 2 1 ab sin C Arc length = rθ, where θ is in radians Sector area = 2 1 r2θ, where θ is in radians Trigonometry C c B b A a sin sin sin= = a2 = b2 + c2 – 2bc cos A Statistics Mean = ∑ ∑ f fx Standard deviation = 22 − ∑∑∑∑ ffxffx

Greendale Secondary School 3 Secondary 4 Express / 5N(A) Preliminary Examination 2026 Mathematics Paper 1 Answer all questions. 1 Simplify ( ) ( )6 2 7 5 3 4.aa a− ++ −− Answer ………………………….. [2] 2 On the number line below, show the set of values of x that satisfies the inequality 3 5.x−≤ < [1] 3 Mindy buys a television set using hire purchase. She pays a deposit of $855 and 24 equal monthly payments of $198.75. The extra cost of using hire purchase as a percentage of the cash price is 25%. (a) Calculate the total amount Mindy pays for the television set. Answer $ ….………………… [1] (b) Calculate the cash price of the television set. Answer $ ….………………… [2] x 0

Greendale Secondary School 4 Secondary 4 Express / 5N(A) Preliminary Examination 2026 Mathematics Paper 1 4 The speed of 60 cars that passed through an underground tunnel is represented by the following cumulative frequency curve. One car is selected at random. The probability that the speed of the car is at least x km/h is 1 5 . Find the value of x. Answer x =……………… [2] 60 50 70 80 90 100 110 10 20 30 40 50 60 Cumulative Frequency Speed (km/h)

Greendale Secondary School 5 Secondary 4 Express / 5N(A) Preliminary Examination 2026 Mathematics Paper 1 5 Express as a single fraction in its simplest form ( ) 5423 .9 18 6 xxx +−−− Answer ………………………….. [2] 6 Factorise (a) 33ab a b+ , Answer …………………………… [1] (b) 29 623cd ce de d−+− . Answer …………………………… [2]

Greendale Secondary School 6 Secondary 4 Express / 5N(A) Preliminary Examination 2026 Mathematics Paper 1 7 An area of 4 cm2 on a map represents an actual area of 1 km2. (a) Find the scale of the map in the form 1 : n. Answer 1 : ………………..…. [2] (b) The distance between Rainforest Wild Asia and Changi Airport is 28.7 km. Calculate the distance, in cm, between these two places on the map. Answer ...………………... cm [1] (c) The area of Rainforest Wild Asia is 0.52 cm2 on the map. Calculate the actual area, in square kilometres, of Rainforest Wild Asia. Answer ...……………….. km2 [1]

Greendale Secondary School 7 Secondary 4 Express / 5N(A) Preliminary Examination 2026 Mathematics Paper 1 8 (a) In this sequence, the difference between any two consecutive terms is the same. x 10 y z 22 …… Find the value of x, of y and of z. Answer x =……………… y =……………… z =……………… [2] (b) The first four terms of a sequence are 27, 20, 13 and 6. (i) Write down the next two terms of the sequence. Answer ………… , ………… [1] (ii) Find an expression, in terms of n, for the nth term of the sequence. Answer ………………………… [1]

Greendale Secondary School 8 Secondary 4 Express / 5N(A) Preliminary Examination 2026 Mathematics Paper 1 P Q R S 13 7 6 10 9 The diagram shows a trapezium PQRS with sides PQ parallel to SR. The measurements, in centimetres, of the sides of the trapezium are shown on the diagram. The area of the trapezium is 50 cm2. Find the shortest distance from S to line PQ. Answer ………………………… cm [2] 10 Triangle ABC is such that 7 cmAB= and 9 cmBC = . The area of triangle ABC is 25 cm2. Given that angle ABC is an obtuse angle, find the length of AC. Answer ………………………… cm [4]

Greendale Secondary School 9 Secondary 4 Express / 5N(A) Preliminary Examination 2026 Mathematics Paper 1 11 The following table shows some information about the heights of 140 durian trees in a plantation. Range 1.4 m Number of trees with heights less than or equal to 1.7 metres 35 A box-and-whisker plot is used to represent the heights of the 140 durian trees. (a) Find (i) the value of p and of q, Answer p =……………… q =………………[2] (ii) the interquartile range. Answer ………………………… m [1] (b) Candice says, “Half of the trees are taller than 1.9 metres”. Is she correct? Give a reason for your answer. ……………………………………………………………………………... ……………………………………………………………………………[1] p q 1.4 2.4 1.9 Height (in m)

Greendale Secondary School 10 Secondary 4 Express / 5N(A) Preliminary Examination 2026 Mathematics Paper 1 12 2 2 4 3 rp qr−= − (a) Find p when 2q = − and 1.r = − Answer p =………………………… [2] (b) Rearrange the formula to make r the subject. Answer r =………………………… [3] 13 An interior angle of a regular six-sided polygon is 6 times the size of the exterior angle of another n-sided regular polygon. Find the value of n. Answer n = ………………………… [3]