Daily Practice · Higher
April 1990 5-a-day
Printing for a group?
The batch download puts all 5 tiers' April 1990 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1990
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1990Make x the subject of y = 5x^2 - 12.
- 2nd April 1990A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 3rd April 1990In triangle ABC, angle A is 42°, angle B is 58° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
- 4th April 19903 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th April 1990A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 6th April 1990A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 7th April 1990Factorise x^2 - 25.
- 8th April 1990y is inversely proportional to x. When x = 4, y = 12. Work out y when x = 12.
- 9th April 1990A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 10th April 199018 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th April 1990Four classes in order have frequencies 3, 4, 6, 4. Write down the cumulative frequency at the end of the third class.
- 12th April 1990Work out (21 x 10^9) / (7 x 10^5). Give your answer in standard form.
- 13th April 1990A region is defined by y < -5x - 8. Should the boundary line be solid or dashed, and why?
- 14th April 1990y is directly proportional to x^2. When x = 5, y = 75. Work out y when x = 3.
- 15th April 1990The point (5, 2) is enlarged by scale factor -2 about the centre (0, 2). Write down the coordinates of the image.
- 16th April 19901 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th April 199045 fish are marked and released. Later 30 are caught, of which 6 are marked. Estimate the population.
- 18th April 1990Write the recurring decimal 0.444... as a fraction in its simplest form.
- 19th April 1990Factorise x^2 - 3x - 18.
- 20th April 1990y is directly proportional to x. When x = 3, y = 36. Work out y when x = 15.
- 21st April 1990Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 56 cm^3. Work out the volume of the smaller.
- 22nd April 199018 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd April 1990A cumulative frequency graph is drawn for 212 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 24th April 1990Work out 100^(3/2).
- 25th April 1990Work out the equation of the line parallel to y = -4x - 5 that passes through (2, 0).
- 26th April 1990A town's population is 12500 and grows by 5% each year. Work out the population after 3 years, to the nearest whole number.
- 27th April 1990A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
- 28th April 19902 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th April 1990A box plot has a minimum of 3 and a maximum of 61. Work out the range.
- 30th April 1990Write sqrt(18) in the form a sqrt(b), where b is as small as possible.