Daily Practice · Higher
July 1969 5-a-day
Printing for a group?
The batch download puts all 5 tiers' July 1969 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1969
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1969Work out (54 x 10^8) / (9 x 10^4). Give your answer in standard form.
- 2nd July 1969Factorise x^2 - 36.
- 3rd July 1969A town's population is 22000 and grows by 6% each year. Work out the population after 3 years, to the nearest whole number.
- 4th July 1969A 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.
- 5th July 196920 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th July 1969A box plot has a minimum of 16 and a maximum of 30. Work out the range.
- 7th July 1969Write the recurring decimal 0.222... as a fraction in its simplest form.
- 8th July 1969A region is defined by y < x + 8. Should the boundary line be solid or dashed, and why?
- 9th July 1969A block has volume 35 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 10th July 1969The point (3, 6) is enlarged by scale factor -3 about the centre (-2, -4). Write down the coordinates of the image.
- 11th July 19696 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th July 1969A box plot has minimum 6, lower quartile 9, median 12, upper quartile 15 and maximum 20. Work out the interquartile range.
- 13th July 1969Work out 27^(2/3).
- 14th July 1969Factorise x^2 + x - 12.
- 15th July 1969x : y = 2 : 7. Write y in terms of x.
- 16th July 1969Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 640 cm^3. Work out the volume of the smaller.
- 17th July 196927 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th July 1969A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 19th July 1969Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 20th July 1969Work out the equation of the line parallel to y = -4x - 1 that passes through (1, -13).
- 21st July 1969A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 22nd July 1969A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 23rd July 19691 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th July 1969A histogram class is 2 units wide and contains 3 values. Work out the frequency density.
- 25th July 1969A meal deal has 6 mains, 6 sides and 2 drinks. How many different meals are possible?
- 26th July 1969A line has equation y = 5x + 8. Work out the gradient of any line perpendicular to it.
- 27th July 1969y is inversely proportional to x. When x = 3, y = 16. Work out y when x = 4.
- 28th July 1969ABCD is a cyclic quadrilateral. Angle ABC is 115°. Work out angle ADC.
- 29th July 196914 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th July 1969Four classes in order have frequencies 9, 12, 5, 4. Write down the cumulative frequency at the end of the third class.
- 31st July 1969A mass is 36 kg, correct to the nearest whole number. Write down the lower bound.