Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

23rd July 2014

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

1
Bounds3 marks
A rectangle is 26 cm by 18 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -4, -1, 6, 17. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = a. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of m and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 36 wins. How many games did they play?

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