Daily Practice

Higher Plus

19th February 1991

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Proof2 marks
In an algebraic proof, how would you write a multiple of 9 in terms of an integer n?
2
Velocity Time Graphs3 marks
A tram runs at 20 m/s for 20 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
3
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a + 4b and vector RS = 6a + 8b. What does this show about PQ and RS?
4
Probability Equation Questions3 marks
The probability of winning a game is 3/10. A player expects 27 wins. How many games did they play?
5
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?

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