Daily Practice · Higher Plus

Daily Practice - Higher Plus

3rd December 1996

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 triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 28/55. Work out r.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 25 units wide with density 0.8. How many values in total?
4
Surds3 marks
Expand and simplify (2 + sqrt(2))(2 - sqrt(2)).
5
Rearranging Harder Formulae3 marks
Make x the subject of 3x + 7 = y(x + 7).

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