Daily Practice

Higher Plus

23rd November 1956

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 1.2, one 25 units wide with density 0.8. How many values in total?
2
Surds3 marks
Rationalise the denominator of 16/sqrt(2), giving your answer in its simplest form.
3
Rearranging Harder Formulae3 marks
Make x the subject of 3x + 8 = y(x + 8).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 225. Work out the positive value of x when y = 324.
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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