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21. Half way through the third month, what is the difference between the total paid at
Elsie’s and the total paid at Terry’s?
22. Terry says “Buy from me. It will cost you less to begin with.” Elsie says “Buy from me. It will cost you less in the end.”
According to the information in the graph, which of these statements is true?
Questions 23–25 refer to the following information:
Henry is helping his father on the farm. They have picked pumpkins and are stacking them.
The first ten are placed in a triangle as shown. Then a second layer is started as shown by the circles. The completed stack will have four layers.
23. When the stack is finished the second layer will contain
24. When the stack is finished the third layer will contain
25. Henry’s father made a bigger stack using the same pattern but with five layers of pumpkins. There were ten pumpkins in the second layer.
How many pumpkins did the first layer contain?
26. Patel, Quoc and Ron live near each other along the same straight road. Patel lives 0.6 km from Quoc. Ron lives 0.4 km from Patel.
How far apart do Quoc and Ron live?
27. Jill buys fruit costing a total of $3.50. She gives the greengrocer a $5 note. The greengrocer has only $1.00, 50 cent and 20 cent coins in his till.
In how many different ways can the greengrocer combine his coins to give Jill the change?
28. It is 12.00 noon. On this clock, the hour hand and the
minute hand are overlapping (both pointing exactly the same way).
During which of the following time intervals do the two hands not overlap?
29. Con opened his book and laid it down. He noticed that when the two page numbers showing in his book were multiplied together the answer was 1190. The right hand pages had odd numbers.
The left hand page number was
Questions 30–32 refer to the following information:
A cube has faces numbered 1 to 6. It sits on a table as shown. The hidden corner is U. Face 3 is opposite face 1, and face 4 is opposite face 2.
The cube can be rolled over an edge. If, for example it is rolled over edge TW, as shown by
the arrow, then face 1 would be at the bottom. After rolling, the corners keep their labels in their new positions.
The viewer’s position stays unchanged.
30. From its starting position the cube was rolled over edge WV and then rolled over edge SW.
Which face was then on the top?
31. From its starting position, the cube was rolled once and then looked like this.
What edge had the cube rolled over?
32. From its starting position, the cube was rolled twice, and then looked like this.
What edges had the cube rolled over, and in what order?
Questions 33–34 refer to the following information:
In this addition square some of the numbers are missing.
33. The number at Q will be
34. The number at R will be
Questions 35–36 refer to the following information:
In this addition square some of the numbers are missing.
35. The number at S will be
36. The number at T will be
Questions 37–38 refer to the following information:
Kim often rides her bike to visit Ed. She can go various ways. For example, if she rides via Paul and Jodie’s houses, the total distance is 9 km.
37. Ed wants to ride to Kim’s house visiting Jim’s house on the way.
Using the shortest distances in each case, how much further would Ed need to ride if he also visited Mai’s house?
38. Ella, Jodie, Kim and Paul all leave at the same time to ride the shortest way to Jim’s
house. They all ride at the same speed.
Who will arrive there last?
Questions 39–40 refer to the following information:
The perimeter of the grey shape is 12 units, and its area is 8 square units.
39.The striped square is moved into position X, making a new shape.
Compared to the original grey shape, the perimeter will
40. The striped square is moved instead to position Y, making another new shape.
By what fraction will the perimeter and area of this new shape increase compared to the original grey shape?
perimeter increased / area increased by