Daily Practice

Higher Plus

17th July 1973

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Proof2 marks
In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?
2
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 = 144.
3
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.
4
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 1/28. Work out r.
5
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 5 units wide with density 0.8. 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 July 1973, including the monthly compilation PDF.