Daily Practice · Higher
February 1964 5-a-day
Printing for a group?
The batch download puts all 5 tiers' February 1964 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.
Every sheet in February 1964
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1964A cone has base radius 3 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 2nd February 196422 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd February 1964A cumulative frequency graph is drawn for 108 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4th February 1964Write the recurring decimal 0.333... as a fraction in its simplest form.
- 5th February 1964Make x the subject of y = 5x^2 - 10.
- 6th February 1964A town's population is 5500 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 7th February 1964In triangle ABC, angle A is 41°, angle B is 72° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 8th February 19646 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th February 1964A box plot has a minimum of 7 and a maximum of 62. Work out the range.
- 10th February 1964Work out 64^(2/3).
- 11th February 1964Factorise x^2 - 9.
- 12th February 1964A block has volume 135 cm^3 and density 4 g/cm^3. Work out its mass.
- 13th February 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.
- 14th February 196425 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th February 1964A box plot has minimum 6, lower quartile 14, median 23, upper quartile 31 and maximum 36. Work out the interquartile range.
- 16th February 1964Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 17th February 1964A region is defined by y <= -2x + 7. Should the boundary line be solid or dashed, and why?
- 18th February 1964x : y = 2 : 5. Write y in terms of x.
- 19th February 1964The point (-3, 2) is enlarged by scale factor -2 about the centre (2, 3). Write down the coordinates of the image.
- 20th February 19641 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st February 1964A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 22nd February 1964A meal deal has 8 mains, 3 sides and 5 drinks. How many different meals are possible?
- 23rd February 1964Factorise x^2 + x - 56.
- 24th February 1964A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 25th February 1964Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 256 cm^3. Work out the volume of the smaller.
- 26th February 196417 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th February 1964A histogram class is 10 units wide and contains 25 values. Work out the frequency density.
- 28th February 1964A mass is 430 kg, correct to the nearest 10. Write down the upper bound.
- 29th February 1964Work out the equation of the line parallel to y = -5x - 9 that passes through (5, -18).