Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

11th October 2009

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

1
Bounds3 marks
x = 83 and y = 51, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Inverse and Composite Functions3 marks
f(x) = 6x + 4 and g(x) = 5x + 3. Work out fg(6).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 6. Work out y when x = 4.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 7 cm and 6 cm and an area of 21.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 7/15. Work out r.

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 October 2009, including the monthly compilation PDF.