Daily Practice

Higher Plus

19th July 1969

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

1
Bounds3 marks
A car covers 660 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Proof3 marks
Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = q. X is the midpoint. Write vector OX in terms of b and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 104 wins. How many games did they play?

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