Grade 6 Maths - Ratio - Set 01
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Q1) If Lilian gives Devi $4, both of them will have the same amount of money. If Mrs Tan adds $25 to Lilian's sum of money, the ratio of Lilian's sum of money to Devi's sum of money will be 5 : 2. How much does Devi have?
Ans:____________
Answer
Devi have $22.
Q2) There were 210 female and male passengers on a train. After 3/5 of the female passengers alighted the train and 30 male passengers boarded the train, the ratio of the number of female passengers to the number of male passengers became 4 : 5. How many male passengers were there on the train at first?
Ans:____________
Answer
There were 50 male passengers on the train at first.
Q3) Daniel and Janice shared some money in the ratio of 3 : 7. After Janice gave Daniel $26, Janice had twice as much as Daniel. How much did the Daniel have at first?
Ans: $____________
Answer
234
Q4) The ratio of the number of crabs to the number prawns in the market was 7 : 11. There were 168 crabs at first. After some prawns were sold, the ratio of the number of crabs to the number of prawns became 8 : 9. How many prawns were sold?
Ans:____________
Answer
75 prawns were sold.
Q5) The ratio of the number of boxes to the number of marbles in a shop is 1 : 15. The number of blue marbles is 4/7 of the number of red marbles. There are 225 more red marbles than blue marbles. How many boxes are there?
Ans:____________
Answer
There are 55 boxes.
Q6) 4500 tickets were available in a concert. 10% of the tickets were from Category A. 15 of the remaining tickets were from Category B. The rest of them were from Category C. Due to the overwhelming response from the public, the organiser had decided to convert 200 more tickets from Category C to Category A.
(a) How many tickets were from Category A in the end?
(b) What percentage of the tickets was from Category C in the end?
(Round off your answer to the nearest whole number.)
Ans:
(a)____________
(b)____________
Answer
(a) In the end, 650 tickets were from Category A.
(b) In he end, 68% of the tickets was from Category C.
Q7) A big square is joined to 4 identical small squares as shown in the figure below. Each small square has an area of 36 m2. The ratio of the area of one small square to the big square is 1 : 4. Find the perimeter of the big square.
Ans:____________m
Answer
48
Q8) The ratio of the mass of Alice to Bob was 1 : 5. The ratio of the mass of Bob to Cindy was 7 : 2. Find the ratio of the mass of Alice to the mass of Bob to the mass of Cindy.
Ans:____________
Answer
7 : 35 : 10
Q9) The average savings of Cindy and Dan was $2500. The average savings of Eden and Cindy was $3000. If the ratio of Dan's to Eden's saving was 9 : 11, find Dan's savings.
Ans:____________
Answer
Dan's savings was $4500.
Q10) Janet has 8 ℓ of fruit punch and some orange juice. She has 4 ℓ more fruit punch than orange juice. What is the ratio of the amount of orange juice to the amount of fruit punch? Express your answer in its simplest form.
Ans:____________
Answer
1 : 2
Q11) Steven and Carrie had some sweets in the ratio 3 : 2. When Steven gave 1/2 of his sweets to Carrie, she then had 36 sweets more than him. How many sweets did Steven have at first?
Ans:____________sweets
Answer
54
Q12) The ratio of the amount of money Alex had to the amount of money Bala had was 5 : 4. After Alex gave Bala $15, the ratio became 2 : 7. How much money did Alex have at first?
Ans: $____________
Answer
25
Q13) There were apples, oranges and pears in the ratio 3 : 5 : 2 in a basket. There were 68 more apples than pears. The apples were sold at 3 for $1, the oranges were sold at 5 for $2 and the pears were sold at 40 cents each. What was the total amount of money collected fro the sale of all the fruits?
Ans:____________
Answer
$258.40 was collected from the sale of all the fruits.
Q14) The ratio of the number of Sally's stickers to the number of Jane's stickers was 1 : 3. After Jane had given 28 of her stickers to Sally, the ratio became 3 : 2. How many stickers did Sally have in the end?
Ans:____________stickers
Answer
48
Q15) In a club, the ratio of the number of boys to girls was 2 : 5. After 21 boys and 21 girls had joined the club, the ratio of boys to girls became 3 : 4. How many girls were there in the club in the end?
Ans:____________girls
Answer
36
Q16) In a school hall, the ratio of the number of boys to the number of girls was 3 : 5 at first. After 14 boys entered the school hall and 14 girls left the school hall, the number of boys became twice the number of girls. How many boys were there in the school hall at first?
Ans:____________
Answer
There were 18 boys in the school hall at first.
Q17) Jason had 20 sweets more than Mason at first. After Jason gave 46 sweets to Mason, the ratio of the number of sweets that Mason had to the number of sweets that Jason had became 5 : 3. Find the number of sweets Mason had in the end.
Ans:____________
Answer
Mason had 180 sweets in the end.
Q18) Lukas and Jason share some stickers. The ratio of Luka's stickers to Jason's stickers was 3 : 5. After Lukas gave away 20 stickers, Lukas has half as many stickers as Jason. How many more stickers must Lukas give away in order to have 20% of Jason's stickers?
Ans:____________
Answer
Lukas must give away 60 stickers.
Q19) Some children and adults were at a party. Every boy was given 5 sweets while each girl was given 2 sweets. Every adult was also given 1 sweet. 14 of the people at the carnival were adults and the ratio of the number of boys to the number of girls was 3 : 2. How many children were there altogether given that a total of 310 sweets were distributed?
Ans:____________
Answer
There were 75 children.
Q20) Zachary has more marbles than Samuel. The ratio of the sum of their marbles to the difference in the number of their marbles is 11 : 3. Find the ratio of Zachary's number of marbles to Samuel's number of marbles.
Ans:____________
Answer
7 : 4
Q21) There were 200 children at concert. The ratio of the number of adults to the number of boys was 10 : 1. The ratio of the number of adults to the number of girls was 5 : 2. During the interval, 10% of the adults and 34 of the girls left the concert.
(a) How many people were there at the concert at first?
(b) What is the ratio of the number of adults to the number of boys to the number of girls in the end?
Ans:
(a)____________
(b)____________
Answer
(a) There were 600 people at the concert at first.
(b) The ratio of number of adults to the number of boys to the number of girls is 9 : 1 : 1.
Q22) In a bag, there were some black and white stickers in the ratio 4 : 7.
After 42 white stickers were removed from the bag, the ratio of the number of black stickers to the number of white stickers became 16 : 7. Find the number of white stickers in the bag at first.
Ans:____________
Answer
There are 56 white stickers at first.
Q23) At a carnival, the ratio of the number of males to the number of females was 6 : 5. There were twice as many girls as women. There were 12 as many boys as men. There were 80 more girls than boys.
(a) How many people were there at the carnival?
(b) After some time, 90 men left the carnival. How many women must join the carnival so that there is an equal number of men and women in the end?
Ans:
(a)____________
(b)____________
Answer
(a) There were 660 people at the carnival.
(b) 50 women must join the carnival to make an equal number of men and women.