Daily Practice · Higher
January 1965 5-a-day
Printing for a group?
The batch download puts all 5 tiers' January 1965 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1965
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1965y is directly proportional to x. When x = 8, y = 88. Work out y when x = 5.
- 2nd January 1965A cone has base radius 8 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 3rd January 196527 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th January 1965A cumulative frequency graph is drawn for 152 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 5th January 1965Work out 27^(2/3).
- 6th January 1965Make x the subject of y = 6x^2 - 5.
- 7th January 1965A town's population is 38000 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.
- 8th January 1965In triangle ABC, angle A is 68°, angle B is 82° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 9th January 19653 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th January 1965A box plot has a minimum of 2 and a maximum of 33. Work out the range.
- 11th January 1965Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 12th January 1965Factorise x^2 - 9.
- 13th January 1965A block has volume 165 cm^3 and density 3 g/cm^3. Work out its mass.
- 14th January 1965A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 15th January 196529 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th January 1965A box plot has minimum 1, lower quartile 8, median 13, upper quartile 19 and maximum 22. Work out the interquartile range.
- 17th January 1965A meal deal has 8 mains, 4 sides and 6 drinks. How many different meals are possible?
- 18th January 1965A region is defined by y < x + 6. Should the boundary line be solid or dashed, and why?
- 19th January 1965x : y = 4 : 5. Write y in terms of x.
- 20th January 1965The point (3, 6) is enlarged by scale factor -3 about the centre (4, 0). Write down the coordinates of the image.
- 21st January 19654 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd January 1965A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 23rd January 1965A mass is 60 kg, correct to the nearest 10. Write down the upper bound.
- 24th January 1965Factorise x^2 - 16x + 63.
- 25th January 1965A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 26th January 1965Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2304 cm^3. Work out the volume of the smaller.
- 27th January 196519 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th January 1965A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 29th January 1965Write 5^-2 as a fraction.
- 30th January 1965Work out the equation of the line parallel to y = 5x - 6 that passes through (3, 18).
- 31st January 1965y is inversely proportional to x. When x = 2, y = 8. Work out y when x = 4.