Daily Practice

Higher Plus

25th September 1975

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 radius is drawn to the midpoint of a chord. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 10 units wide with density 3. How many values in total?
4
Surds3 marks
Simplify sqrt(45) + sqrt(80), giving your answer in the form a sqrt(b).
5
Factorising Harder Quadratics3 marks
Solve 15x^2 + 8x + 1 = 0.

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