Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

5th September 2018

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 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Bounds3 marks
A rectangle is 21 cm by 17 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 289 and y = x + 7 simultaneously.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 20 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a - 3b and vector RS = 12a - 6b. What does this show about PQ and RS?

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