Daily Practice · Higher Plus

Daily Practice - Higher Plus

24th December 1992

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 tangent meets a radius at the point of contact. 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) = 1/28. Work out r.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 5 units wide with density 0.8. How many values in total?
4
Surds3 marks
Simplify sqrt(80) + sqrt(125), giving your answer in the form a sqrt(b).
5
Algebraic Fractions3 marks
Simplify (x^2 - 3x - 4)/(x + 1).

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