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Chapter 16,17 & 18
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REVISION : CHAP 16,17,181. Write the linear equation for the following
statement.(a) The product of 25 and y is 150.(b) The product of x and 17 is 98.
2. A triangle has a base of 12cm and a height of y cm Its area is 132 cm2. Find y.
3. Express the ratio of the following in the form of x:y.(a) 5 days to 3 weeks(b) 2 months to 4 years
4. The price of 5 cakes is RM13.50. Find the price of (a) 3 cakes(b) 7 cakes
5. Express the ratio of the following in the form of x : y. (a) 14 days to 8 weeks(b) 3 months to 12 years
6. Express the ratio of the following in the form of x : y.(a) 150m to 7.5km(b) 25 mm to 5 cm
7. Given that p : q : r = 6 : 4 : 5, determine the value of (a) q : (p+q-r) (b) p+r : (p-q+r)
8. Calculate the length of the diagonal of a square of area (a) 144 cm2
(b) 441 cm2
9. Solve the following linear equations.(a) 18− j=15(b) k+26=45
10. Find the value of c, given that(a) 2 (3c−3 )=48 (b) 3 (−5c+10 )=75
11. Find the value of y, given that(a) 3 (4 y−5 )=21
(b) 4−2 y3
=−16
12. Find the value of j, given that(a) 5 (−4−6 j )=−50 (b) 15+3 j=18 j
13. Find the value of y, given that
(a) 3 y10
+6= y−8
(b) 1−3 y2
=−7
14. Find the value of h, given that(a) 3 (3h+6 )=3h−9
(b) 4h5
−2=h−4
15. Find the value of j, given that
(a) 4 ( j−3 )=2(1+3 j)2
(b) −4 (2 j−3 )=3 j−10
16. Given that x : y : 5 : 17, find the ratio of(a) y : y −¿x(b) x : y +¿ x
17. Given that p :q=8 :15 find the value of(a) p if q = 60(b) q if p = 80
18. Given that p :q=1:5 find the value of (a) q if p = 58(b) p if q = 95
19. Find the value of y, if given that(a) y :96=8.5 :1.5 (b) x : y=2:3 and y−x=5
20. Find the value of y, if given that(a) y :12=4.5 :1.5 (b) x : y=3 :4 and x− y=8
21. Find the value of x + y if given that
REVISION : CHAP 16,17,18(a) x : y = 1 : 2 and y – x = 8 (b) x : y = 5 : 6 and x – y = 10
22. The price of 3 plates is RM9 Customer can enjoy a discount of RM2 for any purchase above RM18 in a single receipt. How much must be paid for buying 11 plates?
23. The figure below shows a triangle.
Find the value of y in cm.
24. The figure below shows a square ABCE and a triangle CDE.
Find the area of square ABCE, in cm2 in the following figure.
25. The figure below shows a rectangle JLMN.
Find the area of shaded region, in cm2
26. The figure below shows a rectangle with 30cm length and 24cm width.
Find the perimeter of the shaded part, in cm.
27. Find the length of diagonal, in cm of a rectangle with a width and area of
(a) 8 cm and 120 cm2 (b) 7 cm and 168 cm2
28. The figure below shows two right-angled triangles.
(a) (b)
Find the length y for each of the following right-angled triangles.
29. The perimeter of a rectangle is 36 cm. One side measures (2x – 1) cm while the other side measures (y + 5) cm. Write the linear equation for the above statement.
30. In a game show, 4 points are given for a correct answer while 3 points are deducted for a wrong answer. Siva answered x questions correctly and y questions wrongly and scored a total of 55 points. Write the linear equation for the above statement.
31. Raju has p Ringgit and Muthu has 5 times more than Raju. After Muthu bought some stationery for RM30, altogether they still have a balance of RM1250. Write the linear equation for the above statement.
32. In a Science monthly test, Kenneth scores 33 marks less than Abu while Mei scores 3 marks more than Kenneth. The sum of their marks is 203. Write the linear equation for the above statement.
33. 1/5 of a number multiplied by 9 and divided by 12 has the same value when the number is
REVISION : CHAP 16,17,18added 10 times of 7. Write the linear equation for the above statement.
34. 1/9 of a number added to 3 multiplied by 4 and divided by 5 has the same value when 20 is added to the number. Write the linear equation for the above statement.
35. A piece of land with an area of 360 m2 was divided into three pieces in the ratio of 3 : 7 : 5. Determine the area of the smallest piece of land, in m2
36. 450 marbles are divided into box P, box Q and box R according to the ratio of 2 : 3 : 5. Later, the ratio was changed to 7 : 3 : 5. Find how many marbles are needed to be taken out from box R?
37. The ratio of length of rope A, rope B and rope C is 11 : 14 : 5. The difference of length between the longest and shortest is 36cm What is the length of rope A?
38. A jug of water with a volume of 720 cm3 was poured into container P, container Q and container R in the ratio of 3 : 4 : 8. Calculate the volume of fruit juice in container Q and R, in cm3.
39. The figure below shows a triangle.
Given that p : q : r = 1 : 2 : 3 and p + q + r = 24 cm, find the area of the tiangle, in cm3.
40. A cake is cut into three slices in the ratio of 1 : 4 : 5. The total weight of the two bigger slices is 4kg more than the weight of the smallest slice. Find the weight of the largest slice.
Answer :1) (a) 25y = 150
(b) 17x=982) 24cm3) (a) 5:21
(b) 1:244) (a) RM8.10
(b) RM18.905) (a) 1:4
(b) 1:486) (a) 1:50
(b) 1:27) (a) 4:5
(b) 11:78) (a) 12√2 cm
(b) 21√2 cm
9) (a) 3(b) 19
10) (a) 9(b) -3
11) (a) 3(b) 26
12) (a) 1(b) 1
13) (a) 20(b) 5
14) (a)-9/2 (b) 10
15) (a) 13(b) 2
16) (a) 17:12(b) 5:22
17) (a) 32(b) 150
18) (a) 290(b) 19
19) (a) 544(b) 15
20) (a) 336(b) -32
21) (a) 24(b) -110
22) RM3123) 20cm24) 10025) 312cm2
26) 132cm27) (a) 17 cm
(b) 25 cm28) (a) 15
(b) 3029) 2(2x–1) + 2(y+5) = 3630) 4x–3y = 5531) 6p–30=125032) (y–33)+(y–30)+y = 203
33) 95y ÷12= y+70
34) 45 ( 19 y+3)= y+20