Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

12th October 2003

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.2, one 25 units wide with density 3.5. How many values in total?
2
Bounds3 marks
x = 66 and y = 27, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Algebraic Fractions3 marks
Simplify (x^2 + 11x + 28)/(x + 4).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 0 m/s to 2 m/s over 4 seconds. Work out the acceleration.
5
Perpendicular Lines and the equation of a tangent3 marks
The point (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.

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