Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

4th October 2000

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

1
Bounds3 marks
A rectangle is 15 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 25 and y = x - 1 simultaneously.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = q. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of c and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 15 wins. How many games did they play?

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