Daily Practice

Higher Plus

7th March 1967

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 5 units wide with density 0.8. How many values in total?
2
Surds3 marks
Expand and simplify (4 + sqrt(10))(4 - sqrt(10)).
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 10x - 2.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 8 m/s over 8 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a - 4b and vector RS = 4a - 8b. What does this show about PQ and RS?

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