Daily Practice

Higher Plus

13th October 1989

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 0.4, one 10 units wide with density 0.6. How many values in total?
2
Surds3 marks
Rationalise the denominator of 21/sqrt(3), giving your answer in its simplest form.
3
Completing the Square3 marks
Write x^2 + 12x + 5 in the form (x + a)^2 + b.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 3 m/s to 13 m/s over 20 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 9 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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