Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

31st December 2005

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A car covers 490 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Rearranging Harder Formulae3 marks
Make x the subject of 4x + 7 = y(x + 7).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 25. Work out y when x = 5.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 7 cm and 14 cm and an area of 34.65 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.

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