Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

27th October 2007

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 25 units wide with density 0.6. How many values in total?
2
Bounds3 marks
A car covers 690 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -4, 1, 12, 29, ...
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 20. Work out the positive value of x when y = 80.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the three angles of triangle OAB are being summed. State the reason being quoted.

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