Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

7th February 1998

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 8. Work out y when x = 25.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = m. M is the point dividing AB in the ratio 1 : 3. Write vector OM in terms of a and m.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 15 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 1, 2, 0.5. Which class contains the median?
5
Bounds3 marks
A car covers 600 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

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 February 1998, including the monthly compilation PDF.