Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

23rd March 2011

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
2
Drawing Quadratic Graphs2 marks
For the curve y = x^2 + 2x + 5, work out y when x = -1.
3
Speed and Density2 marks
A block has volume 135 cm^3 and density 2.5 g/cm^3. Work out its mass.
4
Sector Areas and Arc Lengths3 marks
A sector of a circle has radius 5 cm and angle 60°. Work out its area, to 1 decimal place.
5
Conditional Probability3 marks
21 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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