Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
31st October 2007
- 1Perpendicular Lines and the equation of a tangent3 marks
The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.
- 2Conditional Probability3 marks
A bag holds 5 red, 5 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 3Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 5 units wide with density 3.5. How many values in total?
- 4Bounds3 marks
A rectangle is 8 cm by 8 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5Algebraic Fractions3 marks
Write 7/(x + 4) + 5/(x - 2) as a single fraction.
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.
Recent Higher Plus sheets
Every sheet is deterministic: the same date always regenerates the same five questions. All of October 2007, including the monthly compilation PDF.