Daily Practice

Higher Plus

7th February 1977

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

1
Bounds3 marks
A block has mass 790 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
Inverse and Composite Functions3 marks
f(x) = 6x - 7 and g(x) = 2x + 4. Work out fg(4).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = a. P is the midpoint. Write vector OP in terms of q and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 11 wins. How many games did they play?

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