Daily Practice

Higher Plus

17th July 1978

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

1
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a - 4b and vector RS = 16a - 16b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 6 wins. How many games did they play?
3
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
4
Bounds3 marks
A block has mass 200 g (to the nearest 10 g) and volume 5 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
5
Inverse and Composite Functions3 marks
f(x) = 6x - 5. Work out the inverse function f^-1(x).

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