Daily Practice · Higher

Daily Practice - Higher

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

29th July 2022

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

1
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.9898... 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 = 2, and write down where the curve crosses the y-axis.
3
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 6, y = 72. Work out y when x = 14.
4
Vectors3 marks
a is the column vector (-3, 3) and b is (-2, 4). Work out 5a - 2b as a column vector.
5
Probability Trees3 marks
2 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Every sheet is deterministic: the same date always regenerates the same five questions. All of July 2022, including the monthly compilation PDF.