Daily Practice

Higher Plus

1st August 1979

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 1.5. How many more values are in the wider class?
2
Bounds3 marks
A rectangle is 7 cm by 12 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 25 and y = x - 1 simultaneously.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 11 m/s over 8 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 = 4a - 3b and vector RS = 20a - 15b. What does this show about PQ and RS?

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