Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

25th January 2013

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 = 4, y = 128. Work out y when x = 3.
2
The Cosine Rule3 marks
A triangle has sides 11 cm, 7 cm and 13 cm. Work out the angle opposite the 11 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 5/8. Work out n.
4
Histograms3 marks
On a histogram the bar for 60 < x <= 70 has a frequency density of 3.5. How many values are in that class?
5
Surds3 marks
Rationalise the denominator of 110/sqrt(11), giving your answer in its simplest form.

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 January 2013, including the monthly compilation PDF.