Daily Practice

Higher Plus

26th August 1978

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

1
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 625 and y = x - 17 simultaneously.
2
Velocity Time Graphs3 marks
A tram runs at 17 m/s for 30 s, then slows steadily to rest over 10 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 = 4a - 4b and vector RS = 16a - 16b. What does this show about PQ and RS?
4
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 42 wins. How many games did they play?
5
Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

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