Daily Practice

Higher Plus

29th May 1990

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 20 units wide with density 1.4. How many values in total?
2
Surds3 marks
Expand and simplify (9 + sqrt(11))(9 - sqrt(11)).
3
Rearranging Harder Formulae3 marks
Make x the subject of 4x + 7 = y(x + 7).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 8. Work out the positive value of x when y = 8.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that two tangents are drawn to a circle from the same external point. State the reason being quoted.

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