Daily Practice

Higher Plus

21st May 1971

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 2, one 10 units wide with density 3. How many values in total?
2
Surds3 marks
Rationalise the denominator of 33/sqrt(3), giving your answer in its simplest form.
3
Algebraic Fractions3 marks
Simplify (x^2 + 10x + 16)/(x + 8).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 6 m/s to 16 m/s over 5 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 4 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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