HALF-YEARLY EXAMINATIONS 2016/2017

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LEVELS 6-7 SECONDARY SCHOOLS HALF-YEARLY EXAMINATIONS 2016/2017 FORM 3 Time: 1hr 30 min Name: Class: Question 1 2 3 4 5 6 7 8 9 10 11 Main Paper Mark Non- Calculator Total INSTRUCTIONS TO

1 LEVELS 6-7 SECONDARY SCHOOLS HALF-YEARLY EXAMINATIONS 2016/2017 FORM 3 Time: 1hr 30 min Name: Class: Question Main Paper Mark Non- Calculator Total INSTRUCTIONS TO CANDIDATES CALCULATORS AND MATHEMATICAL INSTRUMENTS ARE ALLOWED BUT ALL NECESSARY WORKING MUST BE SHOWN. ANSWER ALL QUESTIONS. THIS PAPER CARRIES A TOTAL OF 75 MARKS. Form3 Main Half-Yearly 2017 Page 1 of 10

1. The perimeter of a quadrilateral is 88 cm. 8 4 4 6 a) Form an equation for the perimeter; (2) b) Solve the equation in part (a) to find the value of (2) Ans: a, b) = (Total: 4 marks) 2.

2 1. The perimeter of a quadrilateral is 88 cm a) Form an equation for the perimeter; (2) b) Solve the equation in part (a) to find the value of (2) Ans: a, b) = (Total: 4 marks) 2. A computer costs 360. a) In a sale there is a 20% discount on the price of the items. How much will the customer save when buying the computer during the sale? Ans: He will save (2) Form3 Main Half-Yearly 2017 Page 2 of 10

Name: Class: b) When paying using a student s card, a customer saves an additional 35%. Calculate the price when paying using the student s card. (3) Ans: (Total: 5 marks) 3.

3 Name: Class: b) When paying using a student s card, a customer saves an additional 35%. Calculate the price when paying using the student s card. (3) Ans: (Total: 5 marks) 3. a) Sarah has to travel 36 km to see her friend. Her dad drives at an average speed of 40 km/h and her uncle drives at an average speed of 45 km/hr. How much time does she save if she travels with her uncle rather than with her dad? Ans: She saves mins (Total: 5 marks) Form3 Main Half-Yearly 2017 Page 3 of 10

4 4. The UEFA Champions League Italy vs Germany game starts at 20:50. Each half takes 45 minutes. Half-time break is 1 2 hour. a) When does the second half begin? (2) b) In the second half, the referee grants 3 minutes etra time. At what time does the match finish? (2) c) Write the time when the game finishes using the 12-hour clock. (2) Ans: a), b), c) (Total: 6 marks) 5. a) Epand and simplify the epression 6(3z 5) + 2(z + 3) (2) Ans: Form3 Main Half-Yearly 2017 Page 4 of 10

5 Name: Class: b) Simplify the following: (i) 2p + 3p + p 4p = (2) (ii) 7 6c = (1) (iii) 12y 3 (2) Ans: (i), (ii), (iii) (Total: 7 marks) 6. a) Which of the following ratios is equivalent to 1: 6? Circle the correct answers. (i) 100: 60 (ii) 3: 180 (iii) 9: 54 (iv) 0 5: 3 (2) b) Simplify as far as possible: (i) 18: 24 = (ii) 1 5 kg: 500 g = (3) c) Mary wants to divide 480 between Shaun and Tyler in the ratio 5: 1. How much will Shaun get? (3) Ans: Shaun will get (Total: 8 marks) Form3 Main Half-Yearly 2017 Page 5 of 10

6 7. 5 2y a) Eplain why the area of the above rectangle is 10y. (2) b) Use the formula A = 10y to find the area of the rectangle when = 2cm and y = 4cm. (2) Ans: A= c) Form an epression for the total area of the following structure shape which is made up of 2 rectangles and 2 squares. Factorise your epression. (4) A B C D 2y 2y 5 5 2y Ans: (Total: 8 marks) Form3 Main Half-Yearly 2017 Page 6 of 10

8. Jennifer mies 600 ml of orange juice with 800 ml of apple juice and with 1litre of water to make a fruit drink. a) Write down in its simplest form: (4) (i) the ratio of orange juice to apple juice.

7 8. Jennifer mies 600 ml of orange juice with 800 ml of apple juice and with 1litre of water to make a fruit drink. a) Write down in its simplest form: (4) (i) the ratio of orange juice to apple juice. (ii) the ratio of orange juice to water. Ans: Ans: b) How much orange juice is needed to mi with 12 litres of apple juice? Give your answer in ml. (2) Ans: ml c) For another drink, Jennifer mies peach juice with lemon juice in the ratio 5: 2. How much of each juice, in ml, does she need to mi up to make 3 5 litres of fruit drink? (4) Ans: peach juice = ml lemon juice = ml (Total: 10 marks) Form3 Main Half-Yearly 2017 Page 7 of 10

8 9. A T.V. unit is in the shape of an L-shaped solid. (The diagram is not to scale). 50cm 50cm 150cm 50cm 320cm a) Find the area of the shaded face. (3) b) Work out the volume of the whole solid in cm 3. (3) Ans: Area = cm 2 Ans: Volume = cm 3 (Total: 6 marks) Form3 Main Half-Yearly 2017 Page 8 of 10

9 10. a) Solve the following equations: (4) (i) = 10 (ii) = 15 Ans: a), b) b) 4 10 (i) Form an equation to represent the balance above. (1) Ans: (ii) Solve the equation in part (i). (2) Ans: (Total: 7 marks) Form3 Main Half-Yearly 2017 Page 9 of 10

Frequency 11. On Tuesday, Mark spent 8 minutes reading his emails. He asked the other students in his class how many minutes they spent reading emails that day.

10 Frequency 11. On Tuesday, Mark spent 8 minutes reading his s. He asked the other students in his class how many minutes they spent reading s that day. The following list shows the results in minutes: a) Fill in the Frequency Table below to show this information. (3) Minutes, m Tally Frequency 0 m < m < m < m < m < 25 b) Draw a histogram to represent this information. (4) Minutes, m Type equation here. c) How many students spent more than 10 minutes reading their s? (2) Ans: students Type equation here. (Total: 9 marks) THE END Form3 Main Half-Yearly 2017 Page 10 of 10

1 Write the proportion of each shape that is coloured, as a fraction in its simplest form.

$1 Write the proportion of each shape that is coloured, as a fraction in its simplest form.$ 1 Write the proportion of each shape that is coloured, as a fraction in its simplest form. a b c d e f 2 For each shape in question 1, write the proportion that is coloured as a ratio, coloured : all tiles