Daily Practice · Higher
April 1967 5-a-day
Printing for a group?
The batch download puts all 5 tiers' April 1967 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1967
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1967Write 9^-1 as a fraction.
- 2nd April 1967Make x the subject of y = 9x^2 - 12.
- 3rd April 1967A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 4th April 1967In triangle ABC, angle A is 73°, angle B is 30° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
- 5th April 19676 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th April 1967A histogram class is 2 units wide and contains 3 values. Work out the frequency density.
- 7th April 1967Work out (9 x 10^3) x (5 x 10^3). Give your answer in standard form.
- 8th April 1967Factorise x^2 - 81.
- 9th April 1967y is inversely proportional to x. When x = 2, y = 60. Work out y when x = 12.
- 10th April 1967A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 11th April 196729 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th April 1967Four classes in order have frequencies 8, 10, 11, 12. Write down the cumulative frequency at the end of the third class.
- 13th April 1967Write the recurring decimal 0.4848... as a fraction in its simplest form.
- 14th April 1967A region is defined by y < 5x - 1. Should the boundary line be solid or dashed, and why?
- 15th April 1967y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 7.
- 16th April 1967The point (1, 4) is enlarged by scale factor -3 about the centre (1, 0). Write down the coordinates of the image.
- 17th April 19674 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th April 196740 fish are marked and released. Later 28 are caught, of which 7 are marked. Estimate the population.
- 19th April 1967A bill is £312 including VAT at 20%. Work out the amount before VAT.
- 20th April 1967Factorise x^2 - 12x + 35.
- 21st April 1967y is directly proportional to x. When x = 9, y = 72. Work out y when x = 15.
- 22nd April 1967Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2560 cm^3. Work out the volume of the smaller.
- 23rd April 196722 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th April 1967A cumulative frequency graph is drawn for 196 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 25th April 1967A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 26th April 1967Work out the equation of the line parallel to y = -5x + 3 that passes through (5, -14).
- 27th April 1967A town's population is 12500 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 28th April 1967A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 29th April 19671 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th April 1967A box plot has a minimum of 3 and a maximum of 49. Work out the range.