Daily Practice

Higher Plus

2nd November 1952

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Bounds3 marks
x = 109 and y = 59, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Proof3 marks
Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 26 m/s over 4 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 14 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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