Daily Practice · Higher Plus

Daily Practice - Higher Plus

23rd April 1995

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

1
Algebraic Fractions3 marks
Simplify (x^2 + 6x + 8)/(x + 4).
2
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 21 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.
3
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.
4
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 28/45. Work out r.
5
Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

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