Daily Practice

Higher Plus

21st December 1985

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 20 units wide with density 3. How many values in total?
2
Bounds3 marks
A car covers 330 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Factorising Harder Quadratics3 marks
Solve 6x^2 - 11x - 10 = 0.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 6 m/s to 8 m/s over 4 seconds. Work out the acceleration.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a tangent meets a radius at the point of contact. State the reason being quoted.

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