Daily Practice

Higher Plus

8th February 1954

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

1
Bounds3 marks
A block has mass 570 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) = 7x - 9. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = a. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of c and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 20 wins. How many games did they play?

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