Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th September 1999
- 1Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.
- 2Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 10/21. Work out r.
- 3Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 5 units wide with density 0.8. How many values in total?
- 4Bounds3 marks
x = 81 and y = 42, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5Rearranging Harder Formulae3 marks
Make x the subject of 4x + 3 = y(x + 3).
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