Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

27th December 2005

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 = 49, y = 35. Work out y when x = 16.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = c. M is the midpoint. Write vector OM in terms of q and c.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 12 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 2, 1, 0.5. Which class contains the median?
5
Surds3 marks
Expand and simplify (9 + sqrt(2))(9 - sqrt(2)).

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