Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

30th September 1999

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 = 42. Work out y when x = 36.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = p. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of c and p.
3
Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 30 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 3, 0.5, 1. Which class contains the median?
5
Surds3 marks
Simplify sqrt(12) + sqrt(12), giving your answer in the form a sqrt(b).

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