Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

19th November 1997

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A rectangle is 28 cm by 7 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Proof2 marks
In an algebraic proof, how would you write three consecutive integers in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 48. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = q. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of a and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 49 wins. How many games did they play?

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