Daily Practice

Higher Plus

13th July 1978

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

1
Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(32) + sqrt(18), giving your answer in the form a sqrt(b).
3
Proof3 marks
Prove that the sum of 4 consecutive integers is always a multiple of 2. State the simplified sum you would use.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 19 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 13 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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