Daily Practice

Higher Plus

24th April 1975

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(50) + sqrt(32), giving your answer in the form a sqrt(b).
3
Proof2 marks
In an algebraic proof, how would you write three consecutive integers in terms of an integer n?
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 20 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 = a - 4b and vector RS = 5a - 20b. What does this show about PQ and RS?

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