Daily Practice

Higher Plus

4th February 1990

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

1
Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Bounds3 marks
x = 140 and y = 52, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Algebraic Fractions3 marks
Simplify (x^2 + 7x + 12)/(x + 3).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 17 m/s over 12 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a - 3b and vector RS = 6a - 9b. What does this show about PQ and RS?

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