Daily Practice

Higher Plus

25th February 1962

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 1.2, one 10 units wide with density 3.5. How many values in total?
2
Bounds3 marks
x = 65 and y = 45, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 16x - 12.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 288. Work out the positive value of x when y = 512.
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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