Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

20th November 2012

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 = 6. Work out y when x = 81.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = a. M is the midpoint. Write vector OM in terms of m and a.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 10 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 1, 2, 3. Which class contains the median?
5
Surds3 marks
Expand and simplify (8 + sqrt(5))(8 - sqrt(5)).

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