Daily Practice

Higher Plus

8th August 1988

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

1
Bounds3 marks
A block has mass 520 g (to the nearest 10 g) and volume 22 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Quadratic Inequalities3 marks
Solve x^2 + 4x + 3 < 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = q. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of a and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 36 wins. How many games did they play?

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.

Any date always gives the same five questions, so a sheet can be set again or shared. All of August 1988, including the monthly compilation PDF.