VICTORIA INTERNATIONAL SCHOOL CHECKPOINT – LOWER SECONDARY MOCK EXAMINATION 1 Candidate Name Class __________________________________________________ MATHEMATICS 0862 Paper 1 1 hours You must answer on the exam paper You will need: Geometrical Instruments Soft Clean Eraser __________________________________________________ Instructions Answer all questions. ● Use a black or dark blue pen. ● ● ● ● ● ● Write your name, Class details in the boxes at the top of the page. Write your answer to each question in the space provided. Do not use an erasable pen or correction fluid. Do not write on any bar codes. Dictionaries are not allowed Calculator is not allowed. Information • The total mark for this paper is 50. • The number of marks for each question or part question is shown in brackets [ ] ________________________________________________________________ This document has 16 pages. Any blank pages are indicated. [Turn over] MOCK EXAMINATION 1/T2-24 2 1. Simplify : 3 1 + 4 2 Answer: ____________ (1 mark) 2. Here are four numbers. Write the numbers in ascending order. Answers: __, __, __, __ (2 marks) 0862/22/TERM2/2024 MOCK EXAMINATION 1/T2-24 3 3. Find the nth term for each of the following sequence and the 100th term. 9, 14, 19, 24, …, … Answer: nth term: __________ 100th term: _________ (4 marks) 4. Simplify a. 𝑚6 × 𝑚7 Answer: _________ (1 mark) b. 𝑥 0 Answer: _________ (1 mark) 0862/22/TERM2/2024 MOCK EXAMINATION 1/T2-24 4 1 6 2 c. (16𝑦 ) Answer: _________ (1 mark) 5. a. Expand and simplify (𝑥+3) (𝑥−2) Answer: ______________ (2 marks) b. Solve for x 5𝑥 + 2 = 17 Answer: _________ (2 mark) 0862/22/TERM2/2024 MOCK EXAMINATION 1/T2-24 5 c. Solve for x -5𝑥 + 2 ≥ 17 Answer: ________ (2 marks) 6. On a motorway there is a minimum speed of 30 mph and a maximum speed of 70 mph. a. Represent the information on the number line diagram below. (1 mark) 0862/22/TERM2/2024 MOCK EXAMINATION 1/T2-24 6 b. Write down an inequality to describe your diagram. (1 mark) 7. Find the volume of a rectangular prism with length 5 cm, width 3 cm, and height 2 cm. Answer: ________ (3 marks) 0862/22/TERM2/2024 MOCK EXAMINATION 1/T2-24 7 8. Find the circumference of a circle with 10 cm of diameter. Give your answer in term of 𝜋. Answer: ________ (2 marks) 9. Ms. Haly asks her class to draw an angle of 250 degrees. a. Explain why Alex is correct. (2 marks) 0862/22/TERM2/2024 MOCK EXAMINATION 1/T2-24 8 b. Draw an angle of 250 degrees. (2 marks) 10. A survey shows the number of pets owned by different families. 1, 3, 2, 4, 2, 1, 2 a. Find the mean number of pets per family. Answer: _______ (1 marks) 0862/22/TERM2/2024 MOCK EXAMINATION 1/T2-24 9 b. Find the median of the numbers. Answer: ________ (1 marks) 11. A box contains 5 black, 3 white and 2 yellow balls. If a ball is picked at random, what is the probability that it is not white? Answer: ________ (2 marks) 0862/22/TERM2/2024 MOCK EXAMINATION 1/T2-24 10 12. a. The perimeter of a square is 36cm. Find the length of one side of the square and explain the steps you took to find the answer in detail. (1 mark) b. Find the area of the square? Answer: _________ (1 mark) 0862/22/TERM2/2024 MOCK EXAMINATION 1/T2-24 11 13. Workout the total surface area of the prism below. Answer: ________ (3 marks) 0862/22/TERM2/2024 MOCK EXAMINATION 1/T2-24 14. 12 Here is the distance of some planets from the Sun. Write each of the planet’s distance in standard form. Planet Mercury Mars Uranus Distance (km) 57 900 000 227 900 000 2 870 000 000 Answer: Mercury : __________ Mars : __________ Uranus : __________ (3 marks) 0862/22/TERM2/2024 MOCK EXAMINATION 1/T2-24 13 15. The graph below is a distance time graph for a car, over 10 seconds, during a race. Find the equation of the graph. Answer: ______________ (2 marks) 0862/22/TERM2/2024 MOCK EXAMINATION 1/T2-24 14 16. The scatter graph shows information about the height and the weight for nine students. The table shows the height and the weight for three more students. a. On the scatter graph, plot the information from the table. (1 mark) 0862/22/TERM2/2024 MOCK EXAMINATION 1/T2-24 15 b. What type of correlation does this scatter graph show? Answer: _________________________ (1 mark) c. The weight of another student is 80 kg. Estimate the height of this student. Answer: ________ (2 marks) 17. a. A castle under siege has enough food for 300 men for 90 days. After 40 days, 150 men have left the castle. How long would the food last at the same rate of consumption? Answer: ________ (3 marks) 0862/22/TERM2/2024 MOCK EXAMINATION 1/T2-24 16 b. It takes 22 hours for a hosepipe with a flow of 12 litres per minute to fill a swimming pool. How long will it take if its flow is reduced to 5 litres per minute? Answer: ______ (2 marks) END OF QUESTION PAPER 0862/22/TERM2/2024 MOCK EXAMINATION 1/T2-24 17 0862/22/TERM2/2024