Daily Practice · Higher Plus

Daily Practice - Higher Plus

3rd July 1995

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

1
Bounds3 marks
A block has mass 750 g (to the nearest 10 g) and volume 9 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Transforming Graphs y=f(x)3 marks
The point (5, 3) lies on y = f(x). Write down its image on y = f(-x).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = q. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of c and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 13 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 July 1995, including the monthly compilation PDF.