Daily Practice · Higher Plus

Daily Practice - Higher Plus

13th April 1995

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 the alternate segment theorem is being proved. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 15/28. Work out r.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 10 units wide with density 1.4. How many values in total?
4
Surds3 marks
Simplify sqrt(75) + sqrt(3), giving your answer in the form a sqrt(b).
5
Factorising Harder Quadratics3 marks
Solve 3x^2 + 17x + 20 = 0.

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