Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

7th April 1999

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

1
Bounds3 marks
A rectangle is 11 cm by 17 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Algebraic Fractions3 marks
Simplify (x^2 + 9x + 18)/(x + 3).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 9. Work out y when x = 25.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 9 cm and 16 cm and an area of 50.91 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 15/28. 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 April 1999, including the monthly compilation PDF.