Hong Kong Baptist University Affiliated School Grade 7 Maths Chapter Test 3 PDF

# Hong Kong Baptist University Affiliated School ## Wong Kam Fai Secondary and Primary School ### 2024-2025 Academic Year ### Grade 7 Mathematics Chapter Test 3 **Name:** **Class:** **Content:** - Ch. 3 Introduction to Algebra - Ch. 4 Linear Equations in One Unknown **Marks:** ______ / 32...

# Hong Kong Baptist University Affiliated School ## Wong Kam Fai Secondary and Primary School ### 2024-2025 Academic Year ### Grade 7 Mathematics Chapter Test 3 **Name:** **Class:** **Content:** - Ch. 3 Introduction to Algebra - Ch. 4 Linear Equations in One Unknown **Marks:** ______ / 32 **Date:** _______ **Parent's Signature:** ______ **Time allowed:** 30 minutes **This paper must be answered in English** ## Instructions 1. This paper consists of 2 sections, Section A and Section B. 2. There are 9 questions in this paper. 3. Answer all the questions. 4. Use of calculator is not allowed. 5. Write your answers in this question-answer paper. - (a) Multiple choice questions Mark your answer by filling the ☐ 'with an HB pencil, e.g.: 2 + 3 = ☐ A. 4 B. 5 C. 6 D. 7 - (b) Other types of questions Write your mathematical expressions, answers and statements/conclusions in the space provided. There is NO need to show the rough work. 6. The diagrams in this paper are not necessarily drawn to scale. 7. Do your rough work in the rough worksheet provided. ## Teacher's Use Only | Question No. | Max. marks | |---|---| | **Section A** | | | 1-5 | 10 | | **Sub-total** | 10 | | **Section B** | | | 6 | 7 | | 7 | 3 | | 8 | 6 | | 9 | 6 | | **Sub-total** | 22 | ## Section A: Multiple-choice Questions (10 marks) 1. The result of multiplying 5p by 7 and then adding the product to 9p is - A. 44p + 7. - B. 14p + 7. - C. 98p. - D. 44p. 2. The sum of three numbers x, y and z is 210. If x is half of y and z is 15 less than y, find the value of y. - A. 45 - B. 75 - C. 90 - D. 100 3. The following shows a sequence of figures formed by dots. The 1st figure consists of 5 dots. For any positive integer n, the (n + 1)th figure is formed by adding 4 dots to the nth figure. ``` ........ 1st 2nd 3rd 4th Figure ``` How many dots are there in the 9th figure? - A. 33 - B. 36 - C. 37 - D. 41 4. Given that the general term Tn of a sequence is (-1)^n × 2n, which of the following are correct? - I. The sequence is -2, 4, -6, ... - II. The 10th term of the sequence is 20. - III. The product of 3 consecutive terms in the sequence must be positive. - A. I and II only - B. I and III only - C. II and III only - D. I, II and III 5. Brian drives a car from city A to city B. If the speed of his car increases from 50 km/h to 60 km/h, he can reach city B 48 minutes earlier. If he drives the car at the speed of 80 km/h, how long does he take to travel from city A to city B? - A. 2 hours - B. 3 hours - C. 4 hours - D. 5 hours ## Section B: Conventional Questions (22 marks) 6. **Solve the following equations.** (a) 3y + 24 = 11y - 8 (2 marks) (b) 3w + 2.6 = -(5.1 - w) + 4(3w - 1.2)) (2 marks) (c) 1 - 2p - 4 / 5 = p - 2 / 2 (3 marks) 7. **Simplify the algebraic expression** yx² + 4y² ÷ 8 - 2xx7xy + 3y². (3 marks) 8. A school wants to rent x buses and y mini-buses to carry 192 teachers and students for a picnic. A bus can carry 72 passengers while a mini-bus can carry 24 passengers. The rental fee of a bus is $1 000 while the rental fee of a mini-bus is $500. (a) Write down a formula for calculating the total rental fee ($R) the school pay for the buses and the mini-buses. (1 mark) (b) Suppose there are no empty seat in rental cars. - (i) Write down all the possible pairs of values of x and y. (2 marks) - (ii) The school principal claims that the total rental fee will be at least $3 000. Do you agree? Explain your answer. (3 marks) 9. In order to encourage people to save energy by reducing the consumption of electricity, the electricity company proposed the following charging plan. | Consumption per month | Charge | |---|---| | Up to 50 units | $1.5 per unit of electricity | | Over 50 units | For the first 50 units: $1.5 per unit; For the consumption thereafter: $2 per unit | (a) Jacky consumed 72 units of electricity in June, what is his charge? (2 marks) (b) The charge of electricity of Doris in June is $200. What is her consumption of electricity? (2 marks) (c) Betty finds that her average charge of electricity in June is $1.6 per unit. What is her consumption of electricity? (2 marks) ## END OF PAPER