Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

26th June 2007

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 x^3. When x = 3, y = 81. Work out y when x = 5.
2
The Cosine Rule3 marks
A triangle has sides 12 cm, 8 cm and 7 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/5. Work out n.
4
Histograms3 marks
On a histogram the bar for 50 < x <= 55 has a frequency density of 1.5. How many values are in that class?
5
Surds3 marks
Expand and simplify (9 + sqrt(2))(9 - sqrt(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 June 2007, including the monthly compilation PDF.