Daily Practice · Higher

Daily Practice - Higher

9th February 1995

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

1
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.8181... as a fraction in its simplest form.
2
Trigonometric and Exponential Graphs2 marks
The curve y = 3^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 4500 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
4
Vectors3 marks
a is the column vector (-1, 1) and b is (-6, -5). Work out 5a - 3b as a column vector.
5
Probability Trees3 marks
4 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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