Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

11th March 2009

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 = 320. Work out y when x = 2.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. M is the midpoint. Write vector OM in terms of p and a.
3
Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 21 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
Bounds3 marks
A rectangle is 6 cm by 11 cm, each correct to the nearest cm. Work out the upper bound of its area.

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