Daily Practice · Higher
April 1977 5-a-day
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The batch download puts all 5 tiers' April 1977 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1977
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1977A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 2nd April 1977A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 3rd April 1977Factorise x^2 - 16.
- 4th April 1977A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 5th April 1977A 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.
- 6th April 197730 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th April 1977A histogram class is 20 units wide and contains 60 values. Work out the frequency density.
- 8th April 1977Work out (18 x 10^10) / (2 x 10^4). Give your answer in standard form.
- 9th April 1977A region is defined by y <= -3x + 2. Should the boundary line be solid or dashed, and why?
- 10th April 1977y is inversely proportional to x. When x = 4, y = 30. Work out y when x = 10.
- 11th April 1977The point (1, -3) is enlarged by scale factor -1 about the centre (0, 1). Write down the coordinates of the image.
- 12th April 19774 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th April 1977Four classes in order have frequencies 8, 4, 12, 8. Write down the cumulative frequency at the end of the third class.
- 14th April 1977Write the recurring decimal 0.111... as a fraction in its simplest form.
- 15th April 1977Factorise x^2 + 3x - 10.
- 16th April 1977y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 2.
- 17th April 1977Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 48 cm^3. Work out the volume of the smaller.
- 18th April 197725 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th April 197725 newts are marked and released. Later 30 are caught, of which 3 are marked. Estimate the population.
- 20th April 1977Work out 216^(2/3).
- 21st April 1977Work out the equation of the line parallel to y = 3x + 5 that passes through (6, 24).
- 22nd April 1977y is directly proportional to x. When x = 5, y = 15. Work out y when x = 6.
- 23rd April 1977A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 24th April 19773 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th April 1977A cumulative frequency graph is drawn for 108 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 26th April 1977Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 27th April 1977A line has equation y = 3x + 2. Work out the gradient of any line perpendicular to it.
- 28th April 1977A town's population is 4000 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.
- 29th April 1977ABCD is a cyclic quadrilateral. Angle ABC is 56°. Work out angle ADC.
- 30th April 197710 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.