Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

20th February 2013

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

1
Conditional Probability3 marks
A bag holds 4 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 0.5, 3, 1. Which class contains the median?
3
Bounds3 marks
A rectangle is 22 cm by 9 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 625 and y = x + 17 simultaneously.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 6.

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 February 2013, including the monthly compilation PDF.