Daily Practice

Higher Plus

14th September 1981

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

1
Bounds3 marks
A block has mass 730 g (to the nearest 10 g) and volume 23 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Rearranging Harder Formulae3 marks
Make x the subject of 2x + 6 = y(x + 6).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = q. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of p and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. 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 September 1981, including the monthly compilation PDF.