Daily Practice · Higher Plus

Daily Practice - Higher Plus

22nd April 1997

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 1.2, one 5 units wide with density 1.4. How many values in total?
2
Surds3 marks
Expand and simplify (8 + sqrt(11))(8 - sqrt(11)).
3
Quadratic Inequalities3 marks
Solve x^2 - 11x + 18 < 0.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 112. Work out the positive value of x when y = 343.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. State the reason being quoted.

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