Daily Practice

Higher Plus

14th June 1987

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 10 units wide with density 1.4. How many values in total?
2
Bounds3 marks
x = 194 and y = 92, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Transforming Graphs y=f(x)3 marks
The point (0, -2) lies on y = f(x). Write down its image on y = f(x) - 4.
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 OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.

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