Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

26th January 2008

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

1
Bounds3 marks
A car covers 880 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Transforming Graphs y=f(x)3 marks
The point (2, -2) lies on y = f(x). Write down its image on y = f(x) - 4.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 21. Work out y when x = 16.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = a. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of c and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 16 wins. How many games did they play?

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