Daily Practice

Higher Plus

23rd December 1988

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

1
Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 8/sqrt(2), giving your answer in its simplest form.
3
Algebraic Fractions3 marks
Simplify (x^2 + 4x - 21)/(x - 3).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 15 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 6 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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