Daily Practice

Higher Plus

30th December 1973

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

1
Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Bounds3 marks
x = 186 and y = 116, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 289 and y = x - 7 simultaneously.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 21 m/s over 10 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 = a + b and vector RS = 2a + 2b. What does this show about PQ and RS?

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