Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

14th August 2014

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

1
Conditional Probability3 marks
A bag holds 6 red and 6 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 3, 2, 1, 0.5. Which class contains the median?
3
Surds3 marks
Simplify sqrt(45) + sqrt(45), giving your answer in the form a sqrt(b).
4
Inverse and Composite Functions3 marks
f(x) = 4x - 5 and g(x) = 6x - 1. Work out fg(0).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 36. Work out y when x = 64.

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 August 2014, including the monthly compilation PDF.