MATHEMATICS PAPER 2 TIME 1½ HOURS

NOT TO BE FILLED IN BY CANDIDATES SECTION I SECTION I SECTION II ITEM SCORE MARKER'S INITIAL ITEM SCORE MARKER'S INITIAL ITEM SCORE MARKER'S INITIAL 1 (a) (i) 5 (a) 7 (a) (i) 1 (a) (ii) 5 (b) 7 (a) (ii) 1 (b) (i) 5 (c) 7 (b) (i) 1 (b) (ii) 6 (a) 7 (b) (ii) 2 (a) 6 (b) 8 (a) (i) 2 (b) 6 (c) 8 (a) (ii) 3 (a) 8 (a) (iii) 3 (b) 8 (b) (i) 3 (c) 8 (b) (ii) 4 (a) 9 (a) (i) 4 (b) SUBTOTAL 9 (a)(ii) SUBTOTAL 9 (b) (i) 9 (b) (ii) SUBTOTAL TOTAL SCORE

1 TTNLA Mathematics 2025 Paper II INSTRUCTIONS Read the following instructions carefully. 1. This paper consists of TWO (2) sections – Section I and Section II. 2. There are six (6) questions in Section I and three (3) questions in Section II. 3. Answer ALL six (6) questions in Section I. 4. Answer ANY TWO (2) questions in Section II. 5. Write your answers in the spaces provided in this test booklet. 6. Write proper statements and show all working. 7. If you are finished before time has ended, go back and check your work. 8. Remember to complete the following on the cover of your answer booklet: − Student’s Name − School’s Name − School’s ID − Student’s Number 9. Candidates are permitted to use the following materials: − Calculators (Non-Programmable) − Geometry Set − Graph Paper (provided) NO PROGRAMMABLE CALCULATORS MUST BE USED. NO CELLPHONE CALCULATORS ARE ALLOWED.

TTNLA Mathematics 2025 2 Paper II SECTION I ANSWER ALL QUESTIONS IN THIS SECTION Write your answers in the spaces provided. Remember to show all working. 1. (a) (i) Calculate the exact value of ( 11 + √0.25 )2 (2 marks) (ii) State the answer in (a)(i) in Standard Form. (1 mark) (b) Harry works for 35 hours a week, at a rate of $ 22 per hour. For a particular week, he earns $ 1 001. Calculate: (i) his basic wage for the week. (1 mark) (ii) the number of hours he worked overtime, if he is paid at time and a half for Overtime. (2 marks) (Total 6 marks)

3 TTNLA Mathematics 2025 Paper II 2. A relation is given by {(𝑥, 𝑦)} where 𝑦 = 𝑥² for 𝑥 = −1, 0, 1, 2. (a) Complete the table of values: (2 marks) (b) Complete the arrow diagram to represent the relation 𝑦 = 𝑥². −1 0 0 1 1 2 (3 marks) (c) State the type of relation in (b) above. (1 mark) (Total 6 marks) 𝑥 − 1 0 1 2 𝑦 0 1 𝒙 𝒚

TTNLA Mathematics 2025 4 Paper II 3. (a) Given that p = − 4 and q = − 3, calculate the value of: 𝑝2 − 𝑞 (2 marks) (b) Solve the following inequality. 2𝑡 − 3 < 5𝑡 (2 marks) (c) Robert had k marbles. He gave 7 marbles to Thomas and had 17 marbles remaining. Determine the value of k. (2 marks) (Total 6 marks)

5 TTNLA Mathematics 2025 Paper II 4. A compound shape is shown below. The diagram is not drawn to scale. (a) Calculate the area of the compound shape above. (3 marks) (b) A girl leaves home at 06:45 a.m. and arrives at school at 08:00 a.m. The distance between her home and school is 10.5 km. What was the speed at which she travelled to school? (3 marks) (Total 6 marks)

TTNLA Mathematics 2025 6 Paper II 5. The food delivery truck starts from the restaurant located at point A and delivers food to point C on the coordinate plane. (a) State the coordinates of point A and point C. (2 marks) A __________________ C ____________________ (b) The delivery truck also made deliveries to point B (2, 11) and to point D (8, 6). Plot points B and D on the coordinate plane, clearly labelling the points. ` (2 marks) (c) Complete the quadrilateral ABCD. Identify the quadrilateral that is formed. (2 marks) _____________________________________________________________ (Total 6 marks)

7 TTNLA Mathematics 2025 Paper II 6. The daily number of visitors at a school for a particular week was recorded as follows: Day Number of Visitors Monday 30 Tuesday 14 Wednesday 8 Thursday 28 Friday 10 (a) Complete the Line Graph given below using the information in the table above: (3 marks) (b) On which day was there the greatest decrease in visitors at the school? (1 mark) (c) What was the mean number of visitors per day at the school for this particular week? (2 marks) (TOTAL 6 marks) Days

TTNLA Mathematics 2025 8 Paper II SECTION II ANSWER TWO (2) QUESTIONS ONLY FROM THIS SECTION 7. (a) Keith wishes to visit his family in New York. He can purchase his ticket either through his travel agent or online. (i) The travel agent offers Keith the ticket at a cost of TT$ 4 900.00. He can purchase the same ticket online for US$ 500.00. Which option should he choose and why? (Exchange Rate US $ 1.00 = TT $ 7.00) (3 marks) (ii) Patsy invested TT$ 10 000 in the stock exchange for a period of (3) three years. Calculate the total interest she will receive at the end of her investment if the interest is compounded at a rate of 10%. (Total amount received = p(𝟏 + 𝒓)𝒏 ) (3 marks)

9 TTNLA Mathematics 2025 Paper II B (b) A kite with a string, 150 m long, makes an angle of 30° with the ground. (i) If the string is straight, calculate the height of the kite, AB, from the ground. O A (3 marks) (ii) Determine the horizontal distance OA, to the nearest metre, from the diagram above. (3 marks) (Total 12 marks) 30°

TTNLA Mathematics 2025 10 Paper II 8. (a) The following table shows the number of cars sold by TRZ dealership within the first six months of a given year: Month Number of cars sold January 90 February 40 March 70 April 60 May 75 June 55 (i) Complete the bar chart below to represent the data given above. (2 marks) (ii) What is the median number of cars sold for the 6 months? (2 mark) Number of Cars sold for the 6 Months

11 TTNLA Mathematics 2025 Paper II (iii) What is the probability that a month chosen at random would have had at least 60 cars sold? (2 marks) (b) The figure below, not drawn to scale, represents a storage tank in the form of a cylinder. The diameter of the tank is 42 m, and its volume is 16 632 m3. (i) Find the area of the base of the tank. (Use π = 22 7 ) (3 marks)

TTNLA Mathematics 2025 12 Paper II (ii) Calculate the height of the tank. (3 marks) (Total 12 marks)

13 TTNLA Mathematics 2025 Paper II 9. (a) The students in a Form 4 class sell chow to raise money for their class party. The chow is sold in small and large bags. The mass of chow in each bag is given in the table below: Size of bag Mass (g) Small y Large 2y + 1 The students sold 7 small bags and 5 large bags in total. (i) Write an expression, in terms of y, to represent the total mass of chow sold. (2 marks) (ii) If the TOTAL mass of chow sold was 1 008 g, calculate the mass of chow in each of the following: A small bag: (2 marks) A large bag: (2 marks)

TTNLA Mathematics 2025 14 Paper II (b) (i) The graph shows part of the straight line AB defined by 𝑦 = 𝑚𝑥 + 𝑐 Find the values of m and c (3 marks) (ii) A second line, PQ, is parallel to AB above. Determine the equation of PQ, if it passes through the point with coordinates (3, 6). (3 marks) (Total 12 marks) END OF TEST