Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

16th February 1998

5 questions · 12 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 1.5, one 25 units wide with density 3. How many values in total?
2
Bounds3 marks
A block has mass 550 g (to the nearest 10 g) and volume 10 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 3, 17, 39, 69. Work out the second difference, and the coefficient of n^2.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 3 m/s to 23 m/s over 10 seconds. Work out the acceleration.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a radius is drawn to the midpoint of a chord. State the reason being quoted.

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