Daily Practice

Higher Plus

28th April 1970

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Transforming Graphs y=f(x)3 marks
The point (0, 3) lies on y = f(x). Write down its image on y = f(x) - 5.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 32. Work out the positive value of x when y = 392.
3
Perpendicular Lines and the equation of a tangent3 marks
The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.
4
Conditional Probability3 marks
A bag holds 4 red, 6 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
5
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 5 units wide with density 3.5. 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 April 1970, including the monthly compilation PDF.