Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

9th February 2016

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 24. Work out y when x = 9.
2
The Cosine Rule3 marks
A triangle has sides 23 cm, 16 cm and 12 cm. Work out the angle opposite the 23 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 1/2. Work out n.
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 3, 2, 1. Which class contains the median?
5
Surds3 marks
Expand and simplify (8 + sqrt(11))(8 - sqrt(11)).

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 2016, including the monthly compilation PDF.