Daily Practice

Higher Plus

25th March 1984

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 10 units wide with density 0.6. How many values in total?
2
Bounds3 marks
x = 62 and y = 8, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Algebraic Fractions3 marks
Simplify (x^2 + 13x + 42)/(x + 6).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 63. Work out the positive value of x when y = 252.
5
Perpendicular Lines and the equation of a tangent3 marks
The point (5, 12) lies on the circle x^2 + y^2 = 169. Work out the gradient of the tangent to the circle at that point.

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 March 1984, including the monthly compilation PDF.