Primary 6 HOTs (3) Name : Date ______( : _____Feb 2011 ) Class : P 6/ _____ Parent’s Signature: 1. A builder mixed cement with sand and gravel in the ratio 1: 2 : 5 (by volume) respectively. The total volume of the mixture needed to pave a road was 768 m³. The builder had 194 m³ of gravel. If each cubic metre of gravel cost $1.35, what was the cost of the additional gravel needed? 2. Justin earns $2500 per month. He keeps 80% of it for himself and gives two-fifth of the remainder to Lili. Lili saves a quarter of her money. How much can she save in one year? 3. Nina has 24 ribbons. Chloe has y times as many ribbons as Nina. Lynn has 5 ribbons more than Chloe. What is the average number of ribbons that the girls have? Worksheet prepared by Mr Nizam Page 1 4. A cubical container of sides 9 cm each was two-third filled with water. 50% of the water was poured equally into 3 identical containers. The length of each container was 9 cm and the width was 3 cm. what was the depth of water in each rectangular container? 5. Eloise bought 14 dozen pens. She sold 75% of the pens at $0.55 each and the rest at a discount of 20%. If she paid $55.35 for the pens, how much profit did she earn? 6. 56y stickers are shared among 4 children. A fifth child comes along and contributes 72 stickers and the average number of stickers the five children have is 48. Find the value of y. Worksheet prepared by Mr Nizam Page 2 7. Hwee Qing, Eunice and Rachel share 60 stamps in the ratio of 2 : 3 : z. If Eunice has 5 more stamps than Hwee Qing, find the value of z. 8. The sums of two numbers is 45. The difference between the same pair is one-third of their sum. What are the two numbers? 9. Eric bought 20 bottles of perfume for $900. He sold them at a loss of 20% due to the poor quality of the perfume. In addition, Eric had to pay a tax of 10% for each bottle of perfume sold. Given that 2 bottles of perfume were left unsold, how much loss did Eric make? Worksheet prepared by Mr Nizam Page 3 5 filled with 8 water. The water dripped from the container at a rate of 0.06 m³ per second. What was 1 the depth of the water in the container after 1 minutes? 4 10. A rectangular container of length 3.6 m, width 2 m and height 1.8 m was 11. Tim and Stacy shared a sum of money in the ratio of 10 : 13. After Tim spent $18 and Stacy spent $30, they had a total of $21 left. How much more did Stacy have than Tim at first? 12. 3 of the tables in a room were painted blue. The remaining chairs were painted red or 8 yellow in the ratio of 1 : 2. There were 20 more blue chairs than red chairs. How many chairs were painted yellow? Worksheet prepared by Mr Nizam Page 4