Daily Practice · Higher Plus

Daily Practice - Higher Plus

4th January 1996

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

1
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(32) + sqrt(72), giving your answer in the form a sqrt(b).
3
Algebraic Fractions3 marks
Write 7/(x - 6) + 4/(x - 1) as a single fraction.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 8 m/s to 15 m/s over 4 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 = 6a + 3b and vector RS = 18a + 9b. What does this show about PQ and RS?

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