Daily Practice · Higher
January 1975 5-a-day
Printing for a group?
The batch download puts all 5 tiers' January 1975 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1975
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1975A mass is 710 kg, correct to the nearest 10. Write down the upper bound.
- 2nd January 1975Make x the subject of y = 2x^2 - 12.
- 3rd January 1975y is directly proportional to x. When x = 3, y = 27. Work out y when x = 14.
- 4th January 1975In triangle ABC, angle A is 40°, angle B is 63° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 5th January 19751 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th January 1975A cumulative frequency graph is drawn for 160 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 7th January 1975Write 3^-3 as a fraction.
- 8th January 1975Factorise x^2 - 64.
- 9th January 1975A town's population is 16000 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
- 10th January 1975A 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.
- 11th January 197526 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th January 1975A box plot has a minimum of 7 and a maximum of 27. Work out the range.
- 13th January 1975Work out (7 x 10^5) x (5 x 10^2). Give your answer in standard form.
- 14th January 1975A region is defined by y < -2x + 5. Should the boundary line be solid or dashed, and why?
- 15th January 1975A block has volume 10 cm^3 and density 8 g/cm^3. Work out its mass.
- 16th January 1975The point (-3, -2) is enlarged by scale factor -2 about the centre (3, -2). Write down the coordinates of the image.
- 17th January 19752 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th January 1975A box plot has minimum 10, lower quartile 17, median 24, upper quartile 32 and maximum 34. Work out the interquartile range.
- 19th January 1975Write the recurring decimal 0.7777... as a fraction in its simplest form.
- 20th January 1975Factorise x^2 - 7x - 18.
- 21st January 1975x : y = 4 : 9. Write y in terms of x.
- 22nd January 1975Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 184 cm^3. Work out the volume of the smaller.
- 23rd January 197520 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th January 1975A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 25th January 1975A bill is £936 including VAT at 20%. Work out the amount before VAT.
- 26th January 1975Work out the equation of the line parallel to y = 5x - 2 that passes through (3, 27).
- 27th January 1975A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 28th January 1975A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 29th January 19754 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th January 1975A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 31st January 1975A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?