Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

14th September 2022

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 5 units wide with density 0.6. How many values in total?
2
Bounds3 marks
A rectangle is 20 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 9, 18, 33, 54. Work out the second difference, and the coefficient of n^2.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 6 m/s to 18 m/s over 4 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a - 3b and vector RS = 15a - 15b. What does this show about PQ and RS?

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