Daily Practice · Higher
April 1964 5-a-day
Printing for a group?
The batch download puts all 5 tiers' April 1964 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1964
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1964A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 2nd April 196425 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd April 1964A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 4th April 1964Work out (36 x 10^12) / (6 x 10^5). Give your answer in standard form.
- 5th April 1964A region is defined by y < 2x - 2. Should the boundary line be solid or dashed, and why?
- 6th April 1964A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 7th April 1964The point (-3, -4) is enlarged by scale factor -2 about the centre (3, 0). Write down the coordinates of the image.
- 8th April 19644 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th April 1964A histogram class is 20 units wide and contains 30 values. Work out the frequency density.
- 10th April 1964Write the recurring decimal 0.888... as a fraction in its simplest form.
- 11th April 1964Factorise x^2 - 5x + 6.
- 12th April 1964y is inversely proportional to x. When x = 6, y = 8. Work out y when x = 4.
- 13th April 1964Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2432 cm^3. Work out the volume of the smaller.
- 14th April 196415 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th April 1964Four classes in order have frequencies 3, 11, 5, 5. Write down the cumulative frequency at the end of the third class.
- 16th April 1964Work out 27^(2/3).
- 17th April 1964Work out the equation of the line parallel to y = 3x - 7 that passes through (3, 13).
- 18th April 1964y is directly proportional to x^2. When x = 5, y = 175. Work out y when x = 2.
- 19th April 1964A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 20th April 19642 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st April 196455 newts are marked and released. Later 16 are caught, of which 2 are marked. Estimate the population.
- 22nd April 1964Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 23rd April 1964A line has equation y = 2x + 2. Work out the gradient of any line perpendicular to it.
- 24th April 1964y is directly proportional to x. When x = 9, y = 99. Work out y when x = 2.
- 25th April 1964ABCD is a cyclic quadrilateral. Angle ABC is 85°. Work out angle ADC.
- 26th April 196415 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th April 1964A cumulative frequency graph is drawn for 148 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 28th April 1964A meal deal has 6 mains, 4 sides and 4 drinks. How many different meals are possible?
- 29th April 1964For the curve y = 28/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 30th April 1964A town's population is 34000 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.