Daily Practice

Higher Plus

9th March 1962

5 questions · 13 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 1.2, one 10 units wide with density 0.6. How many values in total?
2
Surds3 marks
Rationalise the denominator of 10/sqrt(2), giving your answer in its simplest form.
3
Proof2 marks
In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 5 m/s to 65 m/s over 20 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 11 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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