Daily Practice

Higher Plus

5th February 1991

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 20 units wide with density 0.6. How many values in total?
2
Surds3 marks
Expand and simplify (7 + sqrt(7))(7 - sqrt(7)).
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 Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 14 m/s over 20 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 12 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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