Daily Practice · Higher
June 1970 5-a-day
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The batch download puts all 5 tiers' June 1970 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1970
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1970A cumulative frequency graph is drawn for 160 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 2nd June 1970Write the recurring decimal 0.222... as a fraction in its simplest form.
- 3rd June 1970Factorise x^2 - 9.
- 4th June 1970A town's population is 9500 and grows by 6% each year. Work out the population after 6 years, to the nearest whole number.
- 5th June 1970A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 6th June 197010 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th June 1970A box plot has a minimum of 20 and a maximum of 49. Work out the range.
- 8th June 1970Work out 216^(2/3).
- 9th June 1970A region is defined by y <= 2x - 2. Should the boundary line be solid or dashed, and why?
- 10th June 1970A block has volume 180 cm^3 and density 8 g/cm^3. Work out its mass.
- 11th June 1970The point (-2, 1) is enlarged by scale factor -1 about the centre (3, -2). Write down the coordinates of the image.
- 12th June 19704 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th June 1970A box plot has minimum 9, lower quartile 13, median 21, upper quartile 29 and maximum 33. Work out the interquartile range.
- 14th June 1970Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 15th June 1970Factorise x^2 - 13x + 42.
- 16th June 1970x : y = 3 : 4. Write y in terms of x.
- 17th June 1970Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 594 cm^3. Work out the volume of the smaller.
- 18th June 197028 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th June 1970A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 20th June 1970A meal deal has 8 mains, 9 sides and 6 drinks. How many different meals are possible?
- 21st June 1970Work out the equation of the line parallel to y = x + 7 that passes through (2, -8).
- 22nd June 1970A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 23rd June 1970A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 24th June 19701 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th June 1970A histogram class is 2 units wide and contains 3 values. Work out the frequency density.
- 26th June 1970A mass is 9.3 kg, correct to 1 decimal place. Write down the upper bound.
- 27th June 1970A line has equation y = 2x + 1. Work out the gradient of any line perpendicular to it.
- 28th June 1970y is inversely proportional to x. When x = 3, y = 12. Work out y when x = 4.
- 29th June 1970ABCD is a cyclic quadrilateral. Angle ABC is 98°. Work out angle ADC.
- 30th June 197021 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.