Daily Practice

Higher Plus

9th December 1953

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 2.5, one 25 units wide with density 0.8. How many values in total?
2
Bounds3 marks
A rectangle is 20 cm by 5 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Transforming Graphs y=f(x)3 marks
The point (2, -3) lies on y = f(x). Write down its image on y = f(x - 1).
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 = 50.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that two angles at the circumference stand on the same arc. State the reason being quoted.

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