Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

28th March 2020

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 10 units wide with density 0.6. How many values in total?
2
Bounds3 marks
A car covers 810 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 6x - 4.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 8. Work out the positive value of x when y = 50.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a + 2b and vector RS = 4a + 4b. What does this show about PQ and RS?

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