Daily Practice

Higher Plus

6th November 1971

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

1
Bounds3 marks
A car covers 420 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Quadratic Inequalities3 marks
Solve x^2 + 12x + 35 > 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = m. M is the midpoint. Write vector OM in terms of c and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 25 wins. How many games did they play?

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