Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st February 2020
- 1Proof 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.
- 2Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
- 3Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 10 units wide with density 0.8. How many values in total?
- 4Bounds3 marks
A car covers 190 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 5Proof2 marks
In an algebraic proof, how would you write three consecutive even numbers in terms of an integer n?
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 February 2020, including the monthly compilation PDF.