Daily Practice

Higher Plus

14th October 1979

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Iteration3 marks
Use the iteration x(n+1) = cube root of (5x(n) + 9) with x(0) = 1. Work out x(1) to 3 decimal places.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 200. Work out the positive value of x when y = 512.
3
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.
4
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 14/33. Work out r.
5
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 0.6. How many values in total?

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Any date always gives the same five questions, so a sheet can be set again or shared. All of October 1979, including the monthly compilation PDF.