Daily Practice · Higher Plus

Daily Practice - Higher Plus

20th October 1993

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

1
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/28. Work out r.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 25 units wide with density 0.8. How many values in total?
4
Bounds3 marks
A rectangle is 21 cm by 26 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 12x + 5.

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