Daily Practice

Higher Plus

24th March 1972

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

1
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 625 and y = x - 17 simultaneously.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 81. Work out the positive value of x when y = 441.
3
Proof 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.
4
Probability 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.
5
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 25 units wide with density 0.6. How many values in total?

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