This document contains 11 math word problems involving ratios, rates, and proportions. The problems cover a variety of topics including sharing money, comparing weights and distances, dividing groups of students or shares into ratios, and finding missing values in ratio relationships. Students are asked to show the step-by-step work to solve each problem and find the requested value, such as a total amount, difference, or individual share.

1. RATIOS, RATES &
PROPORTIONS
SET 3 HOTS (KBAT)
Name : Class :
Answer all the questions
1) Rita’s weight, Kenny’s weight and Johan’s weight are in the ratio 5:3:4 and the difference
between Rita’s weight and Kenny’s weight is 16 kg. Find their total weight.
[3 marks]
Jawapan / Answer :
2) The ratio of the number of students in morning session to number of students in afternoon
session is 5:4. If the total number of the students in the school is 2 304, find the difference
between the number of the students in morning session and afternoon session.
[3 marks]
Jawapan / Answer :
3) Roslans weight is 88 kg. Su's weight is 1/ 4 less than Rusni's. Find the ratio of the weight of
Rusni to the weight of Su.
[3 marks]
Jawapan / Answer :
4) The total distance of three roads is 855 km. The distances of the three roads are in the ratio 6: 8:
5. Find the distance of the shortest road.
[3 marks]
Jawapan / Answer :
5) A group of 150 students is divided into three group s in the ratio 7: 12: 16 to clean up the school.
Find the number of students in the largest group.
[3 marks]
Jawapan / Answer :
6) RM 2 500 is shared among Jimmy, Mei Leng and Muthu. Mei Leng and Muthu received the
money in the ratio of 1:2. Given that Mei Leng received RM 600, find the difference of money
received by Jimmy and Muthu.
[3 marks]
Jawapan / Answer :

2. 7) The ratio of the perimeter of rectangle field P to the perimeter of rectangle Q is 5: 8. Given that
the perimeter of rectangle P is 240 cm, find the perimeter of field Q.
[3 marks]
Jawapan / Answer :
8) In a test, the ratio of marks scored by Mak, Nurul and Jalil is 4: 6: 5. The difference of marks
between Mak and Jalil is 45. What is Nurul's score?
[3 marks]
Jawapan / Answer :
9) A company declared dividend and shared among three shareholders in the ratio of 2: 12: 6. The
sum of dividend received by the two larger shareholders is RM 76 000 more than the dividend
received by the smallest shareholder. Find how much the smallest shareholder received.
[3 marks]
Jawapan / Answer:
10) The length of the shown diagram is in the ratio of AB: BC: AC = 2 : 3 : 5.
8 cm
A
B C
Find the length of AC + AB.
[3 marks]
Jawapan / Answer :
11) The diagram shows a triangle.
p
r
q
Given that p: q: r = 1: 2: 3 and p + q + r = 24 cm, find the area of the triangle, in cm3
.
[3 marks]
Jawapan / Answer :