Daily Practice · Higher Plus

Daily Practice - Higher Plus

7th September 1991

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 = a + 5b and vector RS = 4a + 20b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 20 wins. How many games did they play?
3
Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 3. How many more values are in the wider class?
4
Bounds3 marks
A car covers 450 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
5
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 225 and y = x - 3 simultaneously.

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