Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

14th January 2014

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 16. Work out y when x = 2.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = a. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of m and a.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 10 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 3, 1, 2. Which class contains the median?
5
Surds3 marks
Expand and simplify (8 + sqrt(10))(8 - sqrt(10)).

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