Daily Practice · Higher Plus

Daily Practice - Higher Plus

21st September 1991

5 questions · 14 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 180 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Quadratic Inequalities3 marks
Solve x^2 - 6x + 5 > 0.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 96. Work out the positive value of x when y = 96.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the alternate segment theorem is being proved. State the reason being quoted.

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