Answers
Question 1
a) One wheel represents = 12/2 = 6 cars
May = 6.5 wheels = 6.5 x 6 = 39 cars
b) Number of wheels = 25.5
Total sold = 25.5 * 6 = 153 cars
Mean = 153/6 = 25.5
Rounded = 26 cars
Question 2
a) Lunchtime = 9 x 24 = 216
After school = 6 x 15 = 90
More at lunch time
b) Not full = 1/3 x 15 = 5
Lunchtime = 216
Full after school = 5 x 15 = 75
Total = 216 + 75 + 5 = 296 pupils
c) Percentage = 15%
Question 3
a) Winter = 400 – (77+200+56) = 400 – 333 = 67
b) Difference = 77-56 = 21
c) 1/8 x 400 = 50
There is more than 50 votes for autumn
Question 4
a) 1
b) Difference = 12 – 4 = 8
c) Friday (range = 10)
d) Highest = Thursday = 13
Lowest = Tues or Fri = 1
Difference = 13 – 1 = 12
Question 5
a) Answer is 312.5, accept anything from 310 to 315.
b) 80% of Answer of A
Answer = 250. Accept 80% of Answer A even if A was incorrect.
c) Total distance = 160km x 2 = 320 km
Correct – more than 100% of charge.
Award mark according to their previous answers.
Question 6
a) Bee = 6 x 2 = 12
Wasp = 2.5 x 2 = 5
Difference 12-5 = 7
b) Number of circles = 14
Class = 14 *2 = 28
c)
Comments can include: No of icons has halved/Semicircles have now become quarters/due to each circle now being double the value.
Question 7
a) 100 – (41+12) = 100 – 53 = 47%
b) Quite important = 41% x 1200 = 492
Very important = 47% x 1200 = 564
Not important = 12% x 1200 = 144
Question 8
a)
b) Total = 28 x 6 = 168
2012 = 168 – (23+26+31+44+25) = 168 – 149 = 19
c)
Question 9
a) Mean = (3.8+2.3+3.2+1.6+4.1)/5 = 15/5 = 3
b) Total = 4.5 x 5 = 22.5
c)
Comments can include:
- Rounding results in Monday and Friday having the same amount of rain (is not true)
- Rounding results in Tuesday and Thursday having the same amount of rain (is not true)
- Changes total/mean etc
Question 10
a) Total = 36 x 5 = 180
Friday = 175 – (36.1 + 36.6 + 35.2 + 35.6) = 180 – 143.5 = 31.5
b) 31.5 , 35.2, 35.6, 36.1, 36.6
c) Answers can be a degree or two either side, within reason
Maths Questions with a Climate Context for older students:
