Level 3
Renee had $420 less than Tom. Tom spent 0.6 of his money and Renee spent 0.5 of her money. In the end, Tom and Renee had the same amount of money left. Find the amount of money Renee had at first.
Level 3
At a wedding function, the ratio of the number of men to the number of women was 13 : 5. If 35% of the women left, what percentage of the men must leave so that there will be an equal number of men and women remaining?
Level 3
Victor needed exactly 90 m of cloth to make 18 small identical banners and 9 big identical banners. He had some cloth which was just enough to make all the small banners and 5 big banners. He used 12112 cm for each small banner.
How much cloth would he need to make 1 big banner?
How much cloth was he short of to make the remaining big banners?
Level 3
The figure is not drawn to scale. The ratio of the area of the rectangle to the area of the circle to the area of the triangle is 21 : 17 : 4. If 14 of the triangle and 37 of the rectangle are shaded, what is the ratio of the total shaded area to the total of the unshaded area? Leave your answer in the simplest form.
Level 3
The figure is not drawn to scale. The ratio of the area of the rectangle to the area of the circle to the area of the triangle is 21 : 17 : 4. If 14 of the triangle and 37 of the rectangle are shaded, what is the ratio of the total shaded area to the total of the unshaded area? Leave your answer in the simplest form.
Level 3
There are 20% as many green beads as red beads in May's collection of beads. The number of purple beads is 30% fewer than the number of red beads. There are 330 more purple beads than green beads.
Find the total number of beads in the collection.
What percentage are the number of red beads as compared to the number of purple beads? Leave your answer as a mixed number in its simplest form.
Level 3
Two identical pails C and D contained some water. Pail C was 14 filled and Pail D was 1/5 filled. The ratio of the total mass of Pail C and the water in it to the total mass of Pail D and the water in it was 8 : 7. The total mass of the two pails and the water they contained was 3150 g. What is the mass of an empty pail?
Level 3
Abby, Becca, Clara and Demi jointly contributed to the cost of a present for their friend. Abby's contribution is 25 of the total contribution made by the four girls. The ratio of Demi's contribution to the total of Becca's and Clara's contribution is 4 : 1. What is the total contribution by the four girls if Becca's contribution is 15 of Clara's contribution and the total amount contributed by Abby and Demi is $132?
Level 3
Tabitha purchased a bottle of rose syrup to make drinks. She used 37 of the liquid in January. She then used the remaining syrup in February and March in the ratio 3 : 7. Given that the amount of the rose syrup used in January was 0.18 ℓ more than that used on the February, how many millilitres of rose syrup did the bottle contain at first?
Level 3
There were some red, blue and green pens in a box. 19 of the pens were blue. The ratio of the number of red pens to the number of green pens was 3 : 5. There were 288 fewer blue pens than green pens.
Find the ratio of the number of red pens to the number of blue pens to the number of green pens in the box.
Level 3
Lennie gave 58 of his salary to his wife. He gave 15 of his salary to his four children and left the rest for himself. He had $420 left for himself. Given that his four children received the same amount each, how much did each of his four children receive?
Level 3
The ratio of saloon cars to the total number of cars on display in Ken's car shop was 2 : 7. 25 of the remaining bikes on display were family cars and the rest were electric cars and sports cars in the ratio of 10 : 3. If there were 16 more electric cars than saloon cars, how many sports cars were there?
Level 3
In the stationery shop, 14 of the books sold were Math books. 13 of the remaining books sold were English books. The ratio of the number of English books sold to the number of Chinese books was 7 : 6. The number of Science books sold was 56. How many books were sold altogether?
Level 3
At a school sports festival, 13 of the participants were P5 and P6 students. 25 of the remaining participants were P3 and P4 students. The rest were P1 and P2 students in the ratio of 3 : 7 respectively. There were 208 fewer P1 students than the total number of P5 and P6 students. How many students were there at the school sports festival?
Level
In a stationery kiosk, a box of markers costs thrice as much as a guidebook. Mrs Yong spent 14 of her money to buy 2 boxes of markers. She then spent 47 of her remaining money to buy some guidebooks and had $21.60 left. How much does each guidebook cost?
Level 3
A box contained red, blue and purple markers. 25 of the markers were red and 29 of the remainder were blue markers. The rest were purple markers.
Find the ratio of the number of purple markers to the number of red markers.
There were 160 fewer blue markers than red markers. How many markers were there in the box?
Level
Jane had some lollipops. She sold 20% of her lollipops and gave half of the remainder to her brother. After that, she bought 26 lollipops and had a total of 32 lollipops in the end. How many lollipops did Jane have at first?
Level 3
Abi had some bracelets. She gave 13 of the bracelets to her neighbour and gave 25 of the remainder to her brother. She sold the rest at 4 for $6.70. She received a total of $134 from the sales of the bracelets. How many bracelets did she have at first?
Level 3
At a school carnival, each boy received 3 packets of sweets and each girl received 4 packets of sweets. Each accompanying adult received 2 packets of sweets. 27 of the people at the school carnival were adults. The ratio of the number of boys to the number of girls at the carnival was 5 : 8. Given that only 6601 packets of sweets were given away, how many people were there at the carnival?
