Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

15th August 2002

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 = 4, y = 384. Work out y when x = 5.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = q. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of b and q.
3
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 60 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 50 < x <= 55 has a frequency density of 1.5. How many values are in that class?
5
Surds3 marks
Simplify sqrt(48) + sqrt(108), giving your answer in the form a sqrt(b).

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