Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd July 2010

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

1
Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 4) with x(0) = 5. Work out x(1) to 3 decimal places.
2
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 1 m/s to 61 m/s over 20 seconds. Work out the acceleration.
3
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.
4
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 1/55. Work out r.
5
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 10 units wide with density 1.4. How many values in total?

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