Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

1st November 2006

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 25 units wide with density 0.6. How many values in total?
2
Bounds3 marks
A rectangle is 9 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 4x - 9.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 150. Work out the positive value of x when y = 150.
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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