Daily Practice

Higher Plus

24th December 1956

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

1
Bounds3 marks
A block has mass 720 g (to the nearest 10 g) and volume 16 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 inversely proportional to x^2. When x = 3, y = 100. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = b. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of p and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 3 wins. How many games did they play?

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