Daily Practice

Higher Plus

15th September 1958

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A block has mass 200 g (to the nearest 10 g) and volume 11 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 8, 26, 54, 92. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = m. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of p and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 24 wins. How many games did they play?

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