Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

30th October 2003

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

1
Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(8) + sqrt(2), giving your answer in the form a sqrt(b).
3
Algebraic Fractions3 marks
Write 3/(x - 2) + 7/(x - 5) as a single fraction.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 13 m/s over 12 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 7 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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