Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st June 2020

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

1
Bounds3 marks
x = 100 and y = 18, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 2x + 2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = b. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of c and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 9 wins. How many games did they play?

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