Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

25th February 2004

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 a triangle is drawn from the ends of a diameter to a point on the circle. 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) = 7/22. Work out r.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 10 units wide with density 3.5. How many values in total?
4
Bounds3 marks
A rectangle is 28 cm by 15 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Algebraic Fractions3 marks
Simplify (x^2 + 2x - 24)/(x - 4).

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