Daily Practice

Higher Plus

12th May 1959

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 20 units wide with density 1.4. How many values in total?
2
Surds3 marks
Expand and simplify (7 + sqrt(11))(7 - sqrt(11)).
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 12x - 11.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 5 m/s to 65 m/s over 20 seconds. Work out the acceleration.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.

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