Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

7th September 2011

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

1
Bounds3 marks
A rectangle is 19 cm by 24 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 4, 14, 32, 58, ...
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 32. Work out y when x = 81.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = m. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of a and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 39 wins. How many games did they play?

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