Every card in Statistics, Year 7: more practice
The whole deck, in order — so you can read it through before your child ever sees it.
- Find the median of 3, 9, 4, 7, 12, 4.
5.5
HintPut the numbers in order first, and notice how many there are.
WhyIn order: 3, 4, 4, 7, 9, 12. There are six values, so the median is halfway between the 3rd and 4th: (4 + 7) ÷ 2 = 5.5.
- In a tally chart, how is the fifth tally in a group drawn?
As a diagonal line across the first four
HintThink of how tallies are grouped so they are quick to count.
WhyThe first four tallies are upright strokes and the fifth crosses them, so each group stands for 5 and can be counted in fives.
- Why must the bars in a bar chart all be the same width?
So the height of each bar alone shows its frequency
HintThink about what the reader is comparing.
WhyIf widths differed, the bigger area of a wide bar could look more important. With equal widths, only the heights change, so the comparison is fair.
- On a pictogram, one symbol stands for 6 pupils. How many pupils do 3½ symbols stand for? (number only)
21
HintHalf a symbol is half of the key's value.
Why3 × 6 = 18 and half a symbol is 3, so 18 + 3 = 21. Equivalently, 3.5 × 6 = 21.
- On a pictogram, one symbol stands for 4 cars. How many symbols are needed to show 14 cars?
3½ symbols
HintDivide the number of cars by the number each symbol stands for.
Why14 ÷ 4 = 3.5, so three whole symbols and one half symbol show 14 cars.
- A film starts at 18:50 and lasts 2 hours 25 minutes. At what time does it end?
21:15
HintAdd the hours first, then deal with the minutes crossing the hour.
Why18:50 plus 2 hours is 20:50, and plus 25 minutes is 21:15, because 50 + 25 = 75 minutes is 1 hour 15 minutes.
- On a line graph of temperature against time, one section of the line is flat and horizontal. What does it tell you?
The temperature stayed the same
HintThe line goes along but not up or down.
WhyA flat line means no change in the value while time went on, so the temperature was constant over that spell.
- A line graph shows 14 °C at 9 am and 20 °C at 11 am. By how many degrees per hour did the temperature rise on average? (number only)
3
HintFirst find the total rise, then the time it took.
WhyThe rise is 20 − 14 = 6 °C over 2 hours, so 6 ÷ 2 = 3 °C per hour.
- In the data-handling cycle, which stage comes straight after collecting the data: interpreting the results, presenting the data, or posing the question?
Presenting (organising) the data
HintThink about what you do before you can interpret anything.
WhyThe cycle runs: pose a question, collect data, present it in tables or charts, then interpret and conclude. Presenting makes the pattern visible.
- The mean of 6 numbers is 7. A seventh number, 14, is added. What is the new mean? (number only)
8
HintTurn the mean back into a total before adding the new number.
WhyThe first total is 6 × 7 = 42. Adding 14 gives 56, and 56 ÷ 7 = 8.
1★ KS3-MATH-STA-0058
2★ KS3-MATH-STA-0059
3★ KS3-MATH-STA-0060
4★ KS3-MATH-STA-0061
5★ KS3-MATH-STA-0062
6★ KS3-MATH-STA-0063
7★ KS3-MATH-STA-0064
8★ KS3-MATH-STA-0065
9★ KS3-MATH-STA-0066
10★ KS3-MATH-STA-0067
Keep what you learn
Here, nothing is saved. In your child’s own sky every card is scheduled — it comes back just before they’d forget it — and the professor who wrote it is one tap away.