Daily Practice

Higher Plus

11th September 1970

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 10 units wide with density 0.6. How many values in total?
2
Surds3 marks
Rationalise the denominator of 28/sqrt(7), giving your answer in its simplest form.
3
Transforming Graphs y=f(x)3 marks
The point (2, -4) 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 = 3, y = 18. Work out the positive value of x when y = 128.
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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