Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

18th December 1997

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 5 units wide with density 0.6. How many values in total?
2
Surds3 marks
Simplify sqrt(12) + sqrt(75), giving your answer in the form a sqrt(b).
3
Algebraic Fractions3 marks
Write 7/(x + 1) + 4/(x - 3) as a single fraction.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 32. Work out the positive value of x when y = 32.
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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