Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
15 questions · official format, shuffled order
1 In this picture graph each ■ stands for 4 books and ◪ stands for 2. How many more books did Class B read than Class A?
Show worked solution
A: 3 × 4 + 2 = 14 books. B: 5 × 4 = 20 books. 20 − 14 = 6.
2 The table shows sales at four shops in two years. Which shop had the biggest increase?
Show worked solution
P +30, Q +50, R +10, S +40. R sold the most but grew the least.
3 This pie graph shows how 240 students spend their free afternoon. How many more chose sport than art?
Show worked solution
Sport: ½ of 240 = 120. Art: ⅛ of 240 = 30. 120 − 30 = 90.
4 The axis of this graph is marked every 50. What is the total number of visitors on Monday and Tuesday together?
Show worked solution
Monday 125, Tuesday 175. 125 + 175 = 300.
5 Temperatures were recorded every three hours.1 The biggest rise was between 9 am and 12 pm.
2 The temperature fell by 7 °C between 3 pm and 6 pm.
3 At 10:30 am the temperature was about 15 °C.
Which statements are correct?
2 The temperature fell by 7 °C between 3 pm and 6 pm.
3 At 10:30 am the temperature was about 15 °C.
Which statements are correct?
Show worked solution
Rises: 6 then 7, so 9–12 is the biggest (1 ✓). 19 − 12 = 7 (2 ✓). Halfway between 14 and 21 is 17.5, not 15 (3 ✗). 1 and 2.
6 48 students were asked how they get to school. How many boys catch the bus?
Show worked solution
14 + 11 + 9 = 34. 48 − 34 = 14 boys catch the bus.
7 Twenty students recorded their shoe sizes. What fraction of the class has a size of 3 or bigger?
Show worked solution
7 + 4 + 1 = 12 students. 12/20 = 3/5.
8 On a town's timeline: founded 1853, railway 1887, school 1912, bridge 1961. The hospital opened exactly halfway between the railway and the bridge. In what year?
Show worked solution
1961 − 1887 = 74 years; half is 37. 1887 + 37 = 1924.
9 In a picture graph, each symbol stands for 20 cars. Monday has 6 symbols and Tuesday has 4½ symbols. How many cars were counted over the two days?
Show worked solution
Monday 6 × 20 = 120. Tuesday 4 × 20 + 10 = 90. 120 + 90 = 210.
10 The canteen sold 150 drinks.1 Juice was 40% of the drinks sold.
2 Water and milk together equal juice.
3 Soft drink was one tenth of the drinks sold.
Which statements are correct?
2 Water and milk together equal juice.
3 Soft drink was one tenth of the drinks sold.
Which statements are correct?
Show worked solution
60 out of 150 is 4 × 15 = 40% (1 ✓). 45 + 30 = 75, not 60 (2 ✗). 15 out of 150 is one tenth (3 ✓). 1 and 3.
11 A pie graph shows how 72 students travel. The "bus" sector has an angle of 90° and the "car" sector 60°. How many more students come by bus than by car?
Show worked solution
Bus: ¼ of 72 = 18. Car: ⅙ of 72 = 12. 18 − 12 = 6.
12 A plant's height was measured in weeks 2 and 4. If it grew steadily, how tall was it in week 3?
Show worked solution
Halfway between 5 and 9 is 7 cm.
13 Goals scored by three players in two seasons:1 Bo doubled his goals.
2 Cy scored fewer goals in season 2 than in season 1.
3 The three players' total rose by 10.
Which statements are correct?
2 Cy scored fewer goals in season 2 than in season 1.
3 The three players' total rose by 10.
Which statements are correct?
Show worked solution
9 → 18 is double (1 ✓). 20 → 16 is fewer (2 ✓). Totals 41 → 49, a rise of 8, not 10 (3 ✗). 1 and 2.
14 The graph shows two of three shops' sales. The three shops sold 500 items altogether. How many did shop C sell?
Show worked solution
A 175 + B 125 = 300. 500 − 300 = 200.
15 24 students were asked how many pets they have.1 More than half the students have at least one pet.
2 The most common number of pets is 1.
3 The students have 24 pets altogether.
Which statements are correct?
2 The most common number of pets is 1.
3 The students have 24 pets altogether.
Which statements are correct?
Show worked solution
9 + 5 + 3 + 1 = 18 of 24 have a pet, more than half (1 ✓). 9 students is the tallest column (2 ✓). Pets: 9 + 10 + 9 + 4 = 32, not 24 (3 ✗). 1 and 2.