Daily Practice · Higher Plus

Daily Practice - Higher Plus

4th September 1996

5 questions · 13 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 OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 6/11. Work out r.
3
Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 3. How many more values are in the wider class?
4
Bounds3 marks
A rectangle is 4 cm by 13 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Factorising Harder Quadratics3 marks
Solve 6x^2 + 11x + 4 = 0.

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