Daily Practice

Higher

13th May 1959

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 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
2
Trigonometric and Exponential Graphs2 marks
The curve y = 4^x is drawn. Work out y when x = 2, and write down where the curve crosses the y-axis.
3
Speed and Density2 marks
A block has volume 105 cm^3 and density 3 g/cm^3. Work out its mass.
4
Vectors3 marks
a is the column vector (3, -4) and b is (-4, 5). Work out 5a - 5b as a column vector.
5
Probability Trees3 marks
5 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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