2026 GDLSS P2 QP

Name:____________________________ ( ) Class:________ TG : _______ This document consists of 23 printed pages, including this cover page and 2 blank pages. Greendale Secondary School 2026 GREENDALE SECONDARY SCHOOL Preliminary Examination 2026 MATHEMATICS 4052/02 Paper 2 18 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 1a, b 1c 1d 2 3 4 5 Strand Marks Question 6 7a 7b 8a 8b 8c 9 Strand Marks 90

Greendale Secondary School 2 Secondary 4 Express / 5N(A) Preliminary Examination 2026 Mathematics Paper 2 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 2 BLANK PAGE

Greendale Secondary School 4 Secondary 4 Express / 5N(A) Preliminary Examination 2026 Mathematics Paper 2 Answer all questions. 1 (a) Simplify 46 25 35 8 16 15 xy xz yz x× . Answer ...………………….… [2] (b) Simplify 3 3 4 64mn n − . Answer ...………………….… [2] (c) Find all the prime numbers that satisfy the inequalities 3716 25 2x−<≤ . Answer x = .……………….… [3]

Greendale Secondary School 5 Secondary 4 Express / 5N(A) Preliminary Examination 2026 Mathematics Paper 2 (d) Express 2 14 5 2 20 5 x xx x − +−− − as a fraction in its simplest form. Answer …...……………….… [4]

Greendale Secondary School 6 Secondary 4 Express / 5N(A) Preliminary Examination 2026 Mathematics Paper 2 2 Kai and Lina are buying snacks for an event. Kai wants to buy 5 sandwiches, 8 drinks and 3 cereal bars. Lina wants to buy x sandwiches, ( )1x+ drinks and 4 cereal bars. This information is represented by the matrix 583 14xx= +A . The prices of the items are shown below. This information is represented by the matrix 22 1.5 1 1 1.5  =B . (a) Find, in terms of x, the matrix T = AB. Answer T =………………………… [2] (b) Explain what the elements of the first row of matrix T represent. ……….…………………………………………………………………… ………………………………………………………………………… [1] (c) If purchased online, the total cost of Lina’s snack items will cost $5.50 more than the total cost of Kai’s snack items. Find the value of x. Answer x =………………………… [2] Store pricing ($) Online pricing ($) Sandwich 2.00 2.00 Drink 1.50 1.00 Cereal Bar 1.00 1.50

Greendale Secondary School 7 Secondary 4 Express / 5N(A) Preliminary Examination 2026 Mathematics Paper 2 (d) Kai uses an online promotion code which gives a discount on his purchase. He pays $17.55 after the discount. Find the percentage discount given by the promo code. Answer ……………………… % [2] (e) Amir is also buying snacks for the event. The ratio of the number of cereal bars bought by Lina to Amir is 2:7 . Find the ratio of the number of cereal bars bought by Kai to Amir. Answer …………… : …………… [2]

Greendale Secondary School 8 Secondary 4 Express / 5N(A) Preliminary Examination 2026 Mathematics Paper 2 3 A is the point (4, 2)− . 4 7AB  → =− . (a) Find AB   . Answer ………………… units [1] (b) Find the equation of line AB. Answer ………………………… [2]

Greendale Secondary School 9 Secondary 4 Express / 5N(A) Preliminary Examination 2026 Mathematics Paper 2 (c) The equation of line p is 74 2xy+= . Show how you can tell that line p does not intersect the line AB. Answer [2] (d) Given that point C is (14, 8)− , find two possible coordinates of point D such that A, B, C, D are vertices of a parallelogram. Answer 1D (……………, ……………) .. 2D (……………, ……………) [4]

Greendale Secondary School 10 Secondary 4 Express / 5N(A) Preliminary Examination 2026 Mathematics Paper 2 4 (a) Complete the table of values for 2 23yx x=−− . [1] (b) On the grid, draw the graph of 2 23yx x=−− for 24 x−≤ ≤ . [3] x 2− 1− 0.5− 0.5 1 2 3 4 y 4.5 2 4.5− 0 0.5 0.22− 1.13− 3 1 2 y –6 –2 3 –2 0 1 x –1 2 4 –1 –3 –4 5 4 –5