Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

29th March 2013

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 0.4, one 20 units wide with density 3.5. How many values in total?
2
Surds3 marks
Rationalise the denominator of 66/sqrt(11), giving your answer in its simplest form.
3
Completing the Square3 marks
Write x^2 + 6x - 11 in the form (x + a)^2 + b.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 14 m/s over 4 seconds. Work out the acceleration.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.

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