Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

3rd April 2020

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

1
Histograms2 marks
On a histogram, a 4-wide bar and a 16-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 36/sqrt(3), giving your answer in its simplest form.
3
Algebraic Fractions3 marks
Simplify (x^2 + 3x - 28)/(x + 7).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 4 m/s to 17 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 6 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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