Daily Practice

Higher

3rd August 1989

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Fractional and Negative Indices3 marks
Work out 25^(3/2).
2
Trigonometric and Exponential Graphs2 marks
The curve y = 4^x is drawn. Work out y when x = 4, and write down where the curve crosses the y-axis.
3
Repeated Percentage Change3 marks
A town's population is 13000 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.
4
Vectors3 marks
a is the column vector (3, 4) and b is (3, 3). Work out 3a - 2b as a column vector.
5
Probability Trees3 marks
2 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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