Daily Practice

Higher Plus

26th July 1956

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.2, one 5 units wide with density 3. How many values in total?
2
Surds3 marks
Simplify sqrt(80) + sqrt(245), giving your answer in the form a sqrt(b).
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 10x + 8.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 48. Work out the positive value of x when y = 12.
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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