Daily Practice · Higher
April 1954 5-a-day
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The batch download puts all 5 tiers' April 1954 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1954
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 19547 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd April 1954A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 3rd April 1954Work out (8 x 10^3) x (5 x 10^5). Give your answer in standard form.
- 4th April 1954Factorise x^2 - 121.
- 5th April 1954A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 6th April 1954A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 7th April 195416 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th April 1954A histogram class is 20 units wide and contains 30 values. Work out the frequency density.
- 9th April 1954Write the recurring decimal 0.8888... as a fraction in its simplest form.
- 10th April 1954A region is defined by y <= x + 5. Should the boundary line be solid or dashed, and why?
- 11th April 1954y is inversely proportional to x. When x = 5, y = 72. Work out y when x = 12.
- 12th April 1954The point (6, -3) is enlarged by scale factor -2 about the centre (-4, 3). Write down the coordinates of the image.
- 13th April 19541 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th April 1954Four classes in order have frequencies 3, 3, 6, 10. Write down the cumulative frequency at the end of the third class.
- 15th April 1954A bill is £768 including VAT at 20%. Work out the amount before VAT.
- 16th April 1954Factorise x^2 + 16x + 63.
- 17th April 1954y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 8.
- 18th April 1954Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 64 cm^3. Work out the volume of the smaller.
- 19th April 195430 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th April 195445 voles are marked and released. Later 24 are caught, of which 8 are marked. Estimate the population.
- 21st April 1954A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 22nd April 1954Work out the equation of the line parallel to y = -5x - 9 that passes through (3, -23).
- 23rd April 1954y is directly proportional to x. When x = 2, y = 20. Work out y when x = 14.
- 24th April 1954A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
- 25th April 19541 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th April 1954A cumulative frequency graph is drawn for 124 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 27th April 1954Work out (63 x 10^11) / (7 x 10^4). Give your answer in standard form.
- 28th April 1954A line has equation y = -2x + 7. Work out the gradient of any line perpendicular to it.
- 29th April 1954A town's population is 36000 and grows by 3% each year. Work out the population after 2 years, to the nearest whole number.
- 30th April 1954ABCD is a cyclic quadrilateral. Angle ABC is 105°. Work out angle ADC.