Daily Practice

Higher Plus

1st November 1987

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

1
Factorising Harder Quadratics3 marks
Solve 8x^2 - 30x + 25 = 0.
2
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 1 m/s to 21 m/s over 8 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) = 3/11. Work out r.
5
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 10 units wide with density 3.5. How many values in total?

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