Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

27th October 2011

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 = 2, y = 16. Work out y when x = 3.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = p. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of q and p.
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 40 < x <= 60 has a frequency density of 0.4. How many values are in that class?
5
Surds3 marks
Simplify sqrt(80) + sqrt(80), giving your answer in the form a sqrt(b).

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