Daily Practice

Higher Plus

12th July 1976

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

1
Bounds3 marks
A block has mass 770 g (to the nearest 10 g) and volume 17 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Proof3 marks
Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 14. Work out y when x = 16.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = q. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of a and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 7/10. A player expects 70 wins. How many games did they play?

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