Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

31st August 1999

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 x^3. When x = 3, y = 81. Work out y when x = 2.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = m. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of a and m.
3
Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 75 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 0 < x <= 5 has a frequency density of 0.4. How many values are in that class?
5
Surds3 marks
Expand and simplify (5 + sqrt(7))(5 - sqrt(7)).

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 August 1999, including the monthly compilation PDF.