Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

13th December 2002

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 = 5.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = a. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of q and a.
3
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 42 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 0 < x <= 10 has a frequency density of 0.4. How many values are in that class?
5
Surds3 marks
Rationalise the denominator of 24/sqrt(6), giving your answer in its simplest form.

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