1. 6 × 7 = ?
42
6 groups of 7 make 42.
2. 45 ÷ 9 = ?
5
45 split into 9 equal groups gives 5 in each.
3. In the number 4,826, what is the value of the digit 8?
800
The 8 sits in the hundreds place, so it stands for 800.
4. Which fraction shows exactly half?
1/2
One half means one part out of two equal parts.
5. What do we call an angle that is exactly 90 degrees?
A right angle
A right angle is exactly 90 degrees, like the corner of a square.
6. Round 47 to the nearest 10.
50
47 is closer to 50 than to 40, so it rounds up to 50.
7. How many centimetres are in 1 metre?
100
A metre is made up of 100 centimetres.
8. A shape has a line of symmetry if...?
folding it in half along that line makes both sides match exactly
A line of symmetry is a fold line where both halves match exactly.
9. 0.5 is the same amount as which fraction?
1/2
0.5 means 5 tenths, which is the same as one half.
10. What is 10 more than 356?
366
Adding 10 changes the tens digit, so 356 becomes 366.
11. What is 23 × 4?
92
20 × 4 is 80 and 3 × 4 is 12, and 80 plus 12 gives 92.
12. 84 ÷ 7 = ?
12
84 split into 7 equal groups gives 12 in each.
13. In 7,309 what is the value of the digit 3?
300
The 3 sits in the hundreds place, so it is worth 300.
14. Which of these is the same amount as 3/4?
75%
Three quarters means 75 out of 100, which is 75%.
15. What is 50% of 20?
10
50% means half, and half of 20 is 10.
16. Round 683 to the nearest 100.
700
683 is closer to 700 than to 600, so it rounds up.
17. A rectangle is 5 cm long and 3 cm wide. What is its perimeter?
16 cm
Perimeter is the distance all the way round: 5 + 3 + 5 + 3 makes 16 cm.
18. A square has sides of 4 cm. What is its area?
16 sq cm
The area of a square is side times side, so 4 × 4 gives 16 square cm.
19. How many grams are in 1 kilogram?
1,000
A kilogram is made up of 1,000 grams.
20. How many millilitres are in 1 litre?
1,000
A litre holds 1,000 millilitres.
21. Which angle is bigger than a right angle but smaller than a straight line?
Obtuse
An obtuse angle measures somewhere between 90 and 180 degrees.
22. A regular hexagon has how many lines of symmetry?
6
A regular hexagon has six equal sides, so it has six lines of symmetry.
23. If you roll a normal six-sided dice once, what is the chance of rolling a 4?
1 out of 6
There are six equally likely numbers on the dice, so each one has a 1 in 6 chance.
24. What is 234 × 3?
702
200 × 3 is 600, 30 × 3 is 90, and 4 × 3 is 12. Added together that makes 702.
25. 156 ÷ 4 = ?
39
156 split into 4 equal groups gives 39 in each.
26. Which fraction is equivalent to 2/3?
4/6
Multiplying the top and bottom of 2/3 by 2 gives 4/6, which is the same amount split into more pieces.
27. Write 0.6 as a fraction in its simplest form.
3/5
0.6 means 6 tenths, or 6/10. Dividing the top and bottom by 2 simplifies that to 3/5.
28. What is 25% of 60?
15
25% is a quarter, and a quarter of 60 is 15.
29. Round 3,847 to the nearest 1,000.
4,000
3,847 is closer to 4,000 than to 3,000, so it rounds up.
30. A garden is 6 m long and 4 m wide. What is its area?
24 sq m
Area is length times width, so 6 × 4 gives 24 square metres.
31. A path goes all the way round a rectangular field 30 m by 20 m. How far is that?
100 m
Perimeter is 30 + 20 + 30 + 20, which adds up to 100 metres.
32. Two angles sit on a straight line. One is 110 degrees. What is the other?
70 degrees
Angles on a straight line always add up to 180 degrees, so 180 minus 110 leaves 70.
33. How many centimetres are in 2.5 metres?
250 cm
Each metre is 100 cm, so 2.5 metres is 2.5 × 100, which is 250 cm.
34. A bus timetable shows a bus leaving at 9:15 and taking 25 minutes to reach town. What time does it arrive?
9:40
9:15 plus 25 minutes lands on 9:40.
35. A bag has 4 red balls and 6 blue balls. What is the chance of picking a red ball without looking?
4 out of 10
There are 10 balls in total and 4 are red, so the chance is 4 out of 10.
36. What is 47 × 26?
1,222
47 × 20 is 940 and 47 × 6 is 282, and 940 plus 282 makes 1,222.
37. 312 ÷ 8 = ?
39
8 × 39 is 312, so 312 divided by 8 is 39.
38. What is 3/4 of 24?
18
A quarter of 24 is 6, and three quarters is three lots of 6, which is 18.
39. A shop puts a $40 jacket up by 10%. What is the new price?
$44
10% of $40 is $4, and adding that to $40 gives $44.
40. Round 6.28 to one decimal place.
6.3
Look at the second decimal place, which is 8. That rounds the first decimal place up from 2 to 3.
41. A triangle has a base of 8 cm and a height of 5 cm. What is its area?
20 sq cm
The area of a triangle is half the base times the height. Half of 8 × 5, which is half of 40, is 20 square cm.
42. Four angles meet at a point. Three of them are 90, 90 and 100 degrees. What is the fourth?
80 degrees
Angles all the way around a point add up to 360 degrees. 90 + 90 + 100 makes 280, and 360 minus 280 leaves 80.
43. How many millimetres are in 3.5 metres?
3,500 mm
Each metre is 1,000 mm, so 3.5 metres is 3.5 × 1,000, which is 3,500 mm.
44. On a cold morning the temperature is minus 2 degrees. By midday it has risen by 7 degrees. What is the midday temperature?
5 degrees
Starting at minus 2 and going up 7 degrees lands on 5 degrees.
45. A graph shows a line climbing steadily from left to right. What does that usually mean?
The amount is increasing over time
A line sloping upward on a graph shows the value getting bigger as time goes on.
46. Which of these lists is ordered from smallest to largest: -5, 2, -8, 0?
-8, -5, 0, 2
On a number line, the further left a number sits, the smaller it is, so -8 comes before -5.
47. A rectangle 12 cm by 8 cm has a smaller rectangle 4 cm by 3 cm cut out of one corner. What is the area left over?
84 sq cm
The whole rectangle is 96 square cm and the cut-out piece is 12 square cm, so 96 minus 12 leaves 84.
48. A number is between 3,000 and 4,000. Rounded to the nearest 100 it becomes 3,500. Which of these could it be?
3,462
Numbers from 3,450 up to 3,549 all round to 3,500, and 3,462 is the only one of these that falls in that range.
49. A spinner is split into 8 equal sections numbered 1 to 8. What is the chance of spinning a number greater than 5?
3 out of 8
Three of the eight numbers, 6, 7 and 8, are greater than 5, so the chance is 3 out of 8.
50. Which decimal, fraction and percentage all describe the same amount?
0.75, 3/4, 75%
0.75 means 75 hundredths, which is the same amount as three quarters and as 75 percent.