Daily Practice

Higher Plus

1st May 1967

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

1
Bounds3 marks
A block has mass 530 g (to the nearest 10 g) and volume 11 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Inverse and Composite Functions3 marks
f(x) = 6x - 2 and g(x) = 4x + 2. Work out fg(-2).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 32. Work out y when x = 25.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = m. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of q and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 72 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 May 1967, including the monthly compilation PDF.