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Week 5
1. I had to make a skirt that needed a piece of material that was 1.935m2. I had a piece of material that was 2.2m2. How much material did I have left?
2. There are 36 acts in the talent show. Only 2/3 of them can go through to the final. How many is that?
3. The house was valued at $280 000. It sold for 1.25 times its value. What is this as a percentage? How much did it sell for?
4. The forestry company was planting trees. There were 78 trees in each row. If they planted 8 rows how many trees is that?
5. There are 402 apples to be put into 6 trays. How many will be in each tray?
6. Tom has 3 options. Which is the best one to choose?
a) He can pay $40 for his food costs, and gets 2/5 of his $400 wage taken out for his accommodation. What is left is his.
b) He can have a $350 wage and have 3/5 taken out for food and accommodation. What is left is his.
c) He can have $215 wage and all costs are already taken out.
7. Pip's Pizza goes through 5 blocks of cheese for every 12 pizzas. Pat's Pizza goes through 7 for every 18 and Piri's Pizza goes through 2 for every 6 pizzas. Which Pizza place uses the most cheese on each pizza? Which uses the least?
8. I need 675 mls of milk for a dessert recipe I am making. I have a big family event so have bought four 2 litre bottles of milk and have got 1/2 a litr already if I need to use it. How many times the recipe can I make?
9. There were 1027 cars in the carpark then 789 left. How many cars are in the carpark now?
10. There are a ratio of 2:3 boys to girls in the class. If there are 30 students in the class how many boys and girls are there?
Week 4
1. In sprints the first athlete ran the 100m 9.63 secs. One hundred years ago in 1912 it was won in 10.8 secs. How much faster is Usain Bolt today? How much faster is he than the women's winner Shelley-Ann Fraser who won it in 10.75 secs?
2. I want to make a bookcase that has a top, bottom and 4 shelves at 988mm and 2 sides at 1.45m. I have 8.35m . Have I got enough?
3. In a competition the prizes were bars of chocolate. The blue team had 10 players and won 6 bars. The red team had 15 players and won 10 bars. Who ended up getting the most chocolate?
4. In the carpark there are 8 rows of cars with 47 cars in each row. How many cars are there altogether?
5. There are 441 children at a sports day who need to be sorted into teams of 7. How many teams will there be?
6. Round these up to the nearest 50c to work out what about what % you saved. The first game you paid $103.50, the second you paid $39.99
8. There was 2/3 of a pie left. I ate 4/5 of what was left. How much of the pie did I eat?
9. At the moment the currency exchange rate means that for every New Zealand dollar you would get US 808.8 cents. How much US money will I get for my $40 NZ money?
Week 3
1. In long jump the first athlete jumped 4.03m and the second jumped 3.875m. How much further did the first athlete jump.
2. I want to make some cushions. I have 3.2m2. It will take 760mm2 to make 1. How many can I make? Will I have any material left over? If so how much?
3. In a competition the prizes were bars of chocolate. The blue team had 8 players and won 6 bars. The red team had 12 players and won 9 bars. Who ended up getting the most chocolate.
4. I just planted my vege garden. I planted 6 rows of carrots with 26 seeds in each row. How many carrots plants should I have altogether?
5. There are free books being given to the 8 schools in the area. They have 368 books to give away. How many will each school get?
6. There are 192 children that need to be sorted into 16 even teams. How many will go in each team?
7. I got a shirt on special with 20% off. The price I paid for it was $48. How much was the shirt originally?
8. There was 3/4 of a pie left. I ate 1/3 of what was left. How much of the pie did I eat?
9. At the moment the currency exchange rate means that for every New Zealand dollar you would get US 810.9 cents. How much US money will I get for my $40 NZ money?
WEEK 3
1. Complete these patterns and write the rule for each of them.
a) 24,20, 16, ____ b) 3, 8, 18, ___
c)101, 111, 121, ___ d) ___, 20, 27, ____,41
2. Write these numbers in correct order from highest to lowest.
1.6 1. 321 1.099 1.22
3. Write eight thousand and fifty seven in digits.
4. Tom got $45 for his birthday. He bought a DVD which cost $24, a new cap which cost
$6 and he decided to save the rest.
a) What fraction of his money did he spend on a DVD?
b) What fraction of his money did he spend on a cap?
c) What fraction of his money did he save?
d) What fraction of his money did he spend altogether?
5. What is the place value of the 8 in 865.36
a) 1/10 b) 1/100 c) 10 d) 100
7.. Place < or > or = in the space to make each of these sentences true.
a) 68/2 ____ 83 b) 12 + 8 ___ 24 - 42 c) 6 x 4 + 2 ____ 5 x 5 d) 32 _____ 7
8. What is the largest number correct to 2 decimal places that comes before 1.2
9.. What is the place value of the 4 in 352.46
a) 1/10 b) 1/100 c) 10 d) 100
10. What is the actual value of the 4 in 352.46
a) 4/10 b) 4/100 c) 40 d) 400
11. Sarah was filling up a paddling pool with the hose. The graph shows the level of the water in the pool in centimetres over time. Look at the graph then answer the questions.
a) How many centimetres of water was in the pool at 9:45 AM?
b) What do you think Sarah did with the hose at 10:15 AM?
c) What do you think might have happened at 10:30 AM?
Week 2
1. Write the next number to continue the pattern and write the rule
3, 5, 9, 17, ____ Rule: ________________________________________________
44, 35, 26, ___ Rule: ________________________________________________
2. Write these numbers in correct order from highest to lowest.
2.45 2.068 2.6 2.188 ______________________________________
3. Write seven hundred and six in digits _______
4. Complete this equation:
3 + 4 x 6 - (8 ÷ 2) + 32
5. ____ ÷ 6 = 7
6. ____ x 8 = 48
8. Place < or > in the space to make each of these sentences true.
102/2 ____ 26x2
1/2 of 48 ____ 1/3 of 69
52 ____ 8 x 3
12 - 5 ____ 4 + 4
9. There were 18 children who liked oranges the best. 6 who liked bananas the best. And 9 who liked strawberries the best.
a) What fraction of the children liked strawberries? ___________________
b) What fraction of the children liked either strawberries or bananas?
10. What is the place value of the 6 in 365.04
a) 1/10
b) 1/100
c) 10
d) 100
11. What is the total value of the 3 in 245.23
a) 3/10
b) 3/100
c) 30
d) 300
12. Which number goes into the space to make the statement TRUE?
3 2__ 4 067 < 3 253 215
a) 7
b) 6
c) 3
d) 5
13. There were 2/5 of the children children away at sports on Tuesday. If there were 18 children left in class how many children are in the class altogether?
14. To practice for the triathlon I swam 1500m, cycled 38km ran 8.6 kms. What was the total distance?
15. My training partner tripped and hurt herself 2.95km before the end of the run so she had to be picked up. What was her total distance?
16. Without being accurate draw what this scenario might look like on a graph. The graph will show the depth of water in the pool.
I was filling the paddling pool with water. After 20 mins I realised there was a small hole in it so some of the water had been leaking. I turned the tap off and put some tape over the hole before filling it up again. When it was full we went and had lunch. After lunch someone pulled the tape off again so by the time the kids were ready to swim it was only 1/2 full.
(Note whenever I am filling it with water I always use the same amount of pressure.)
17. Each glass holds 360 mls. Can I fill up 25 glasses with my water container which hold 10.5 litres?
18. There was a sale with 30% off. The jeans I bought were originally priced at $78. What did I pay for them?
19. You can buy 12 peaches for $8. How many can you buy for $20?
Week 1
1. Draw a graph that shows the first 1/2 of the run below if it took 40 mins to get to the shop. 20 more mins to get to the park. An hour more to get to the beach and 20 mins jogging along the beach. Which part was I running the fastest speed?
Marking
1. I go for a run. The circuit I go on is 3.6 km to the shop. 1.05 km to the park then 4.95 km to the beach where I jog the 600m along the beach on the sand. I then turn around and come back the way I came. How long is my run?
2. The stadium had 4 grandstands. 3 of them held 13800 people each and the last stadium was 1/3 of the size of the others. What is the capacity of the stadium?
3. At a rugby game the stadium was only 75% filled. How many spectators were there?
4. I mix some juice in a jug that hold 1.45 litres. If I fill up my drink bottle which holds 885 mls how much juice is left in the jug?
5. I need to buy soft drinks to sell at the school social. They come in packs of 24.
a) If I buy 12 trays how many have I got to sell?
b) It works out each bottle costs $0.60 so how much does a tray cost?
c) If I sell each bottle for $2 how much profit do I make per tray/total ?
d) What is the ratio of cost to profit?
e) If I sell 80% of the drinks how much profit have I made?
6. BP has lowered the cost of petrol to $2.179 per litre. My car takes 60 litres and I have $130. Can I fill up my car?
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