Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

18th September 2008

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

1
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 75. Work out y when x = 5.
2
The Cosine Rule3 marks
A triangle has sides 15 cm, 7 cm and 11 cm. Work out the angle opposite the 15 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/10. Work out n.
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 0.5, 3, 1. Which class contains the median?
5
Surds3 marks
Simplify sqrt(32) + sqrt(72), giving your answer in the form a sqrt(b).

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 September 2008, including the monthly compilation PDF.