Question

1. Prime factorise the number 1176 2. Find the LCM of these numbers: 300, 200 and 750 3. Find the HCF of these numbers: 2520, 1260 and 2100 4. A tank contains 10,000 litres of water when full. It begins to leak. After the first day half of the water is lost. After the second day half of the remainder is lost. After the third day half of the remainder from the second day is lost. This continues, losing half of the remainder from the previous day. At the end of 5 days the leak is discovered. a) What fraction of the water has been lost? b) What fraction of the water remains? c) How much water has to be put back into the tank in order to fill it up? 5. A cake is cut up into a number of equal pieces. Alam, Binny, Chirag and Debu take pieces of the cake. Alam has 1/3 of the cake. Binny has 1/4 of the cake. Chirag has 1/6 of the cake. Debu now takes one third of the remainder. This leaves two pieces. How many pieces was the cake cut into? 6. Biscuits occupy 7/8 th of the volume of their packet. The remaining 1/8 is unused. It is decided to re-design the packet so that the amount of unused space is reduced by 40%. What fraction of the packet will the biscuits now take up? 7. Convert the following decimals into fractions: 0.125 and 0.7? (7 is recurring) 8. What is the largest multiple of 73 that is less than 2000? 9. A woman begins her work at 10:20 am and estimates that it will take her 5 8/10 hours to finish. At what time does she expect to finish? 10. Convert these fractions to decimals: 9/40 and 7/22 11. Calculate: a. 25.5 ÷ 0.05 b. 0.025 x 0.042

1. Prime factorise the number 1176

2. Find the LCM of these numbers: 300, 200 and 750

3. Find the HCF of these numbers: 2520, 1260 and 2100

4. A tank contains 10,000 litres of water when full. It begins to leak. After the first day
half of the water is lost. After the second day half of the remainder is lost. After the
third day half of the remainder from the second day is lost. This continues, losing
half of the remainder from the previous day. At the end of 5 days the leak is
discovered.

a) What fraction of the water has been lost?

b) What fraction of the water remains?

c) How much water has to be put back into the tank in order to fill it up?

5. A cake is cut up into a number of equal pieces. Alam, Binny, Chirag and Debu take
pieces of the cake. Alam has 1/3 of the cake. Binny has 1/4 of the cake. Chirag has 1/6
of the cake. Debu now takes one third of the remainder. This leaves two pieces. How
many pieces was the cake cut into?

6. Biscuits occupy 7/8 th of the volume of their packet. The remaining 1/8 is unused. It
is decided to re-design the packet so that the amount of unused space is reduced by
40%. What fraction of the packet will the biscuits now take up?

7. Convert the following decimals into fractions: 0.125 and 0.7? (7 is recurring)

8. What is the largest multiple of 73 that is less than 2000?

9. A woman begins her work at 10:20 am and estimates that it will take her 5 8/10 hours
to finish. At what time does she expect to finish?

10. Convert these fractions to decimals: 9/40 and 7/22

11. Calculate:
a. 25.5 ÷ 0.05
b. 0.025 x 0.042

$1. Prime factorise the number 1176 2. Find the LCM of these numbers: 300, 200 and 750 3. Find the HCF of these numbers: 2520, 1260 and 2100 4. A tank contains 10,000 litres of water when full. It begins to leak. After the first day half of the water is lost. After the second day half of the remainder is lost. After the third day half of the remainder from the second day is lost. This continues, losing half of the remainder from the previous day. At the end of 5 days the leak is discovered. a) What fraction of the water has been lost? b) What fraction of the water remains? c) How much water has to be put back into the tank in order to fill it up? 5. A cake is cut up into a number of equal pieces. Alam, Binny, Chirag and Debu take pieces of the cake. Alam has 1/3 of the cake. Binny has 1/4 of the cake. Chirag has 1/6 of the cake. Debu now takes one third of the remainder. This leaves two pieces. How many pieces was the cake cut into? 6. Biscuits occupy 7/8 th of the volume of their packet. The remaining 1/8 is unused. It is decided to re-design the packet so that the amount of unused space is reduced by 40%. What fraction of the packet will the biscuits now take up? 7. Convert the following decimals into fractions: 0.125 and 0.7? (7 is recurring) 8. What is the largest multiple of 73 that is less than 2000? 9. A woman begins her work at 10:20 am and estimates that it will take her 5 8/10 hours to finish. At what time does she expect to finish? 10. Convert these fractions to decimals: 9/40 and 7/22 11. Calculate: a. 25.5 ÷ 0.05 b. 0.025 x 0.042$

Added by Jamie B.

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