Daily Practice · Higher Plus

Daily Practice - Higher Plus

5th February 1997

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 8) with x(0) = 3. 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 6 m/s to 26 m/s over 8 seconds. Work out the acceleration.
3
Perpendicular Lines and the equation of a tangent3 marks
The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.
4
Conditional Probability3 marks
A bag holds 6 red, 4 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
5
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 20 units wide with density 3. How many values in total?

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