Class 6 Maths - Ratio and Proportion

Q1) In the figure shown below, how many more squares must be shaded to make the ratio of the number of unshaded squares to the number of shaded squares is 1 : 3?

Ans: ____________

Answer

5

Q2) The ratio of the number of Don's marbles to the number of Ryan's marbles is 12 :5. Don gave 2/3​  of his marbles to Ryan and now had 18 marbles less than Ryan. How many marbles did they have altogether?

Ans: ____________

Answer

They have 34 marbles altogether.

Q3) The ratio of Jane's savings to Matz's savings is 5 : 2. When Jane gives $25 to Matz, she still has $55 more than him. What was Jane's original savings?





Ans: ____________________
Answer
$175

Q4) In a fish farm, the ratio of the number of guppies to the number of clownfish is 3 : 5. The number of shellfish is 3/7​  the number of clownfish. If there are 400 more clownfish than shellfish, how many guppies are there?

Ans: ____________

Answer

There are 420 guppies.

Q5) The ratio of the number of mangoes to the number of oranges in a fruit stall is 1 : 6. The number of oranges is 75% less than the number of apples. The total number of fruits in the stall is 434. How many apples are there?

Ans: ____________

Answer

There are 336 apples.

Q6) In a companny, there are 128 Chinese, malay and Indian workers. The ratio of the Chinese workers to Malay workers to Indian workers is 18 : 9 : 5. How many more Chinese workers are there than Malay and Indian Workers.




Ans: ____________________
Answer
16 workers

Q7) The ratio of the number of boys to the number of girls in a class was 5:1. After 24 boys left the class, there were equal number of boys and girls in the class, How many pupils were there in the class at first?





Ans: ____________________
Answer
36

Q8) The total number of marbles in Box A and Box B was 1 875 at first. After 1/4​ of the marbles in Box A and 260 marbles in Box B were removed, the ratio of the number of marbles in Box A to the number of marbles in Box B became 9 : 7. Find the ratio of the number of marbles in Box A to the number of marbles in Box B at first (Leave your answer in the simplest form.)

Ans: ____________

Answer

68 : 57

Q9) Ryan, Sean and Tristan collected a total iif 492 bookmarks. Ryan had the least number of bookmarks. At first, the ratio of the number of bookmarks Sean had to the ratio of bookmarks Tristan had was 3 : 2. After Ryan and Sean each gave away 50% of their bookmarks, Sean had 74 bookmarks more than Ryan. If the three boys had 326 bookmarks left, how many bookmarks did Ryan have in the beginning?




Ans: ____________________
Answer
92 bookmarks

Q10) Michael bought some apples and gave half of them to Jackson.
Jackson bought some pears and gave half of them to Michael.
Michael threw away 25 pears that were rotten while Jackson bought for himself another 20 apples. After that, the number of pears to apples Michael had were in the ratio of 1 : 4 and the number of pears to apples Jackson had were in the ratio of 1 : 2. How many pears did Jackson buy?

Ans: _______________
Answer
80 pears 

Q11) The figure below shows the number of fish and frogs present in a pond. How many more fish must be added to the pond in order for the ratio of the number of frogs to the number of fish be 1 : 4?

Ans: ___________

Answer
7

Q12) The ratio of Steven's cards to Benny's cards was 3 : 4. After Steven bought another 9 cards and Benny lost 18 cards, the ratio became 3 : 2. Find the total number of cards Steven and Benny had at first.

Ans: _______________
Answer
84

Q13) In the figure shown below, how many more triangles must be shaded to make the ratio of the number of unshaded triangles to the number of shaded triangle 4 : 3?



Ans: ____________
Answer
7

Q14) The length of three pieces of ropes is in the ratio of  4 : 7 : 3. What is the difference in length between the shortest and the longest rope if the total lengtth of the three ropes is 91m?

Ans: ____________________m

Answer

26

Q15) In the right-angled triangle shown below, the ratio of the length of sides AB : BC : CA is 3 : 4 : 5. The perimeter if the triangle is 156cm. What is the area of the triangle?

Ans: ____________________

Answer

1014cm²

Q16) Bryan's marks for English and Science are in the ratio of 6 : 5. His Mathematics marks is 78​  of his Science marks. The total marks for his Mathematics and English is 166.
(a) Find his marks for English.
(b) What is the average mark of the 3 subjects?





Ans: (a)____________________

Ans: (b)____________________

Answer

(a) 96 marks
(b) 82 marks

Q17) The ratio of the number of American tourists to the number of South African tourists to the number of Japanese tourists who visited Singapore last year was 5 : 3 : 9. If the number of American, South African and Japanese tourists totaled 16 779, how many fewer American tourists than Japanese tourists visited Singapore last year?

Ans: ______________
Answer
3948 fewer tourists

Q18) In the Art Club last year, 40% of the members were boys. After 45 girls left the Art Club this year, the ratio of the number of boys to the number of girls in the club became 4 : 3.

a) How many members were in the Art Club last year?
b) How many more girls must join the club this year so that there is an equal number of boys and girls in the Art Club this year?
 
Ans: (a) ____________

         (b) ____________
Answer
a) 150
b) 15

Q19) The area of the shaded part to the area of the unshaded part in a square is 3 : 1. The area of the shaded part is 48cm². Find the total area of the square.

Ans: ____________________

Answer

64cm²

Q20) 44% of the cakes in a confectionery are strawberry cream cakes. The rest are tiramisus and durian cakes. The ratio of the number of tiramusus to durian cakes is 3 : 5. There are 72 more strawberry cream cakes than durian cakes. How many cakes are baked in the confectionery altogether?

Ans: _______________

 Answer

800 cakes.

Q21) The ratio of the number of girls to the number of boys in a chess club was 4 : 3 at first. When 20 boys joined the club later, the number of boys became twice the number of girls. What is the total number of boys and girls in the club now?

Ans: _______________
Answer
48

Q22) The ratio of the amount of money Jenny had to the amount of money Siti had was 3 : 4. The next day, their parents gave them each of them some money. Siti received twice as much as Jenny. The ratio then became 5 : 8. If both girls had a total of $70 at first, how much did Siti receive?

Ans: _________________
Answer
$40

Q23) Uncle Vincent had $6300. He gave 30% of his money to his daughter and shared the rest among his three sons, Alan, Ben and Charlie in the ratio 5 : 7 : 3. Alan used 40% of his share to buy a laptop. How much money did he have left?

Ans: _______________
Answer
$882

Q24) Alice, Barbie and Chole shared some beads in the ratio 5 : 2 : 8. When chole gave 2730 beads to Alive, Alice had 4 times as many beads as Barbie. How many beads did they share?

Ans: ______________
Answer
13650 beads

Q25) Poster F is an enlargement of Poster E. The size of Poster E is 4 cm by 6 cm. What is the ratio of the area of Poster E to Poster F? Leave the answer in the simplest form.



Ans: _________________

Answer

1 : 9

Q26) The ratio of the area of Rectangle A to that of Rectangle B to that of Rectangle C is 5 : 4 : 3. 3/10​  of Rectangle A and 1/6​  of Rectangle C are shaded. The shaded area is 36cm² . Find the total unshaded area of the figure.


Ans: _____________

Answer

144cm²

Q27) The ratio of the number of Alan's stickers to the number of Benjamin's stickers was 4 : 3. Alan gave Benjamin 9 of his stickers and they each had the same number of stickers. How many stickers did Benjamin have at first?

Ans: ____________

Answer

54

Q28) There are red, blue and green balls in a box. The ratio of the number of red balls to the number of blue balls was 4 : 5. The number of blue balls to the number of green balls was 7 : 3. Half the total number of balls was then given away and there were 312 balls left in the box. How many more blue balls than red balls were there at first?

Ans: _______________

Answer

56 more

Q29) In a Mathematics quiz, pupils who answered each question correctly will be awarded some points according to the topic related as shown in the table below:

The numbe rof questions on Fractions, Geometry, Volume and Percentage were in the ratio 5 : 4 : 3 : 2 respectively. Weiling answered all the quiz questions on Fractions and Geometry correctly, but she got only 13​  of the questions on Volume correct and scored 0 for questions on Percentage. If Weiling scored 108 points for her quiz,

a) How many questions on Percentage were there in the quiz?
b) How many questions were there in the quiz?


Ans: (a) ________________

        (b) ________________

Answer

a) 6
b) 42 

Q30) The ratio of the number of stamps Keegan had to the number of stamps Liling had was 1 : 3 at first. After Keegan's father gave him another 12 stamps, they then had the same number of stamps. Later, Liling bought another 2 more stamps. What was the ratio of the number of stamps Keegan had to the number of stamps Liling had in the end? Express your answer in its simplest form.

Ans: _________________

Answer

9 : 10