Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

11th May 2016

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

1
Conditional Probability3 marks
A bag holds 7 red, 3 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 0.5, 3, 1. Which class contains the median?
3
Bounds3 marks
A rectangle is 8 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Completing the Square3 marks
Write x^2 - 6x - 1 in the form (x + a)^2 + b.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 16. Work out y when x = 2.

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.

Every sheet is deterministic: the same date always regenerates the same five questions. All of May 2016, including the monthly compilation PDF.