Daily Practice · Higher
July 1964 5-a-day
Printing for a group?
The batch download puts all 5 tiers' July 1964 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1964
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 19642 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd July 1964A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 3rd July 1964A meal deal has 8 mains, 9 sides and 2 drinks. How many different meals are possible?
- 4th July 1964Factorise x^2 - 25.
- 5th July 1964y is inversely proportional to x. When x = 7, y = 30. Work out y when x = 6.
- 6th July 1964A 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.
- 7th July 196412 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th July 1964Four classes in order have frequencies 9, 8, 8, 12. Write down the cumulative frequency at the end of the third class.
- 9th July 1964A mass is 4.1 kg, correct to 1 decimal place. Write down the lower bound.
- 10th July 1964A region is defined by y < -x - 8. Should the boundary line be solid or dashed, and why?
- 11th July 1964y is directly proportional to x^2. When x = 2, y = 36. Work out y when x = 9.
- 12th July 1964The point (-5, -1) is enlarged by scale factor -1 about the centre (-4, 4). Write down the coordinates of the image.
- 13th July 19641 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th July 196425 newts are marked and released. Later 32 are caught, of which 4 are marked. Estimate the population.
- 15th July 1964Write 9^-3 as a fraction.
- 16th July 1964Factorise x^2 + 2x - 35.
- 17th July 1964y is directly proportional to x. When x = 6, y = 54. Work out y when x = 13.
- 18th July 1964Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 704 cm^3. Work out the volume of the smaller.
- 19th July 196414 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th July 1964A cumulative frequency graph is drawn for 52 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 21st July 1964Work out (3 x 10^8) x (6 x 10^3). Give your answer in standard form.
- 22nd July 1964Work out the equation of the line parallel to y = 5x - 3 that passes through (4, 21).
- 23rd July 1964A town's population is 18500 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
- 24th July 1964A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
- 25th July 19645 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th July 1964A box plot has a minimum of 16 and a maximum of 32. Work out the range.
- 27th July 1964Write the recurring decimal 0.5959... as a fraction in its simplest form.
- 28th July 1964A line has equation y = -5x + 4. Work out the gradient of any line perpendicular to it.
- 29th July 1964A block has volume 50 cm^3 and density 11 g/cm^3. Work out its mass.
- 30th July 1964ABCD is a cyclic quadrilateral. Angle ABC is 57°. Work out angle ADC.
- 31st July 196423 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.