WA3 Revision Worksheet PDF

Name : ________________________________ Class: ___________ Date: _________ Revision Worksheet : WA3 Revision 1 C Q B 100...

Name : ________________________________ Class: ___________ Date: _________ Revision Worksheet : WA3 Revision 1 C Q B 100 P 7 cm 5 cm 98 70 R A 3 cm D S ABCD is congruent to PQRS. Find (a) the length of PS, Answer …….………………… cm (b) the value of angle PSR. Answer …….………………….. ° 2 Given that y is inversely proportional to the square root of x and x = 16 when y = 8. Find (a) an equation connecting x and y, Answer …….…………………… 1 (b) the value of x when y = 20. Answer x =.…………………….. 3 (a) Factorise 2 x2 − 7 x + 3. Answer …….…………………… 2x −1 x− y (b) Hence, simplify . 2x − 7 x + 3 x − 3 2 Answer …….…………………… 2 4 The following stem-and-leaf diagram shows the Mathematics test results of students from a particular class. 0 3 6 9 1 3 3 7 8 2 3 3 4 5 8 9 3 0 3 5 5 5 7 8 Key: 2 | 4 means 24 marks Find (a) the total number of students in the class, Answer …….…………… students (b) the highest mark scored by the class, Answer …….……………… marks (c) the most common mark obtained. Answer …….……………… marks (d) A distinction grade is awarded to students who scored 70% and above for the test. The total number of marks for the test is 45 marks. Mrs Tan claims that the percentage of students in the class who have scored a distinction for the test is 40%. Show, with clear workings, if you agree with her claim. Answer I * agree / do not agree with her claim. (*delete accordingly) 3 5 A map is drawn to scale of 1 cm to 50 m. (a) A road has an actual length of 420 m. Find the length of the road, in cm, that is represented on the map. Answer …….………………… cm (b) A park has an area of 4 cm2 on the map. Find, in m2, the actual area of the park. Answer …….………………… m2 6 (a) Factorise 16 x3 − 4 x completely. Answer …….…………………… 3 y (16 x3 − 4 x) (b) Hence, simplify. 6 xy (2 x + 1) Answer …….…………………… 4 7 Triangles ABC and ADE are similar. AB = 8 cm, BD = 10 cm, CE = 7.5 cm and DE = 16 cm. A 8 B C 10 7.5 D E 16 Find the length of (a) BC, Answer …….………………… cm (b) AC. Answer …….………………… cm 5 8 In a study on plant reproduction, 7 seeds are each planted in some pots. Some of the pots of seeds are grown using Fertiliser A and the others using Fertiliser B. The number of seeds that sprouted in the pots using each fertiliser are presented in dot diagrams as shown below. Number of seeds that sprouted in the pot using Fertiliser A Number of seeds that sprouted in the pot using Fertiliser B Find (a) the total number of pots of seeds grown using both fertilisers, Answer …….………………. pots (b) the total number of seeds that has sprouted in the pots that uses Fertiliser A. Answer …….………………. seeds 6 (c) Using the dot diagrams above, which fertiliser will you use to grow the seeds? Explain your answer. Answer I will use Fertiliser …….…… because ………………………………….. ……………………………………………………………………………………. 7