Daily Practice · Higher Plus

Daily Practice - Higher Plus

5th October 1992

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

1
Completing the Square3 marks
Write x^2 + 16x - 12 in the form (x + a)^2 + b.
2
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 1 m/s to 26 m/s over 10 seconds. Work out the acceleration.
3
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. State the reason being quoted.
4
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/28. Work out r.
5
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.2, one 5 units wide with density 0.6. How many values in total?

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