Daily Practice · Higher
January 1970 5-a-day
Printing for a group?
The batch download puts all 5 tiers' January 1970 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1970
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 197015 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd January 1970A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 3rd January 1970A bill is £168 including VAT at 20%. Work out the amount before VAT.
- 4th January 1970Make x the subject of y = 7x^2 - 10.
- 5th January 1970A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 6th January 1970In triangle ABC, angle A is 42°, angle B is 38° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 7th January 19703 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th January 1970A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 9th January 1970A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 10th January 1970Factorise x^2 - 100.
- 11th January 1970y is inversely proportional to x. When x = 9, y = 4. Work out y when x = 4.
- 12th January 1970A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 13th January 197016 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th January 1970Four classes in order have frequencies 5, 11, 8, 9. Write down the cumulative frequency at the end of the third class.
- 15th January 1970Work out (45 x 10^10) / (9 x 10^4). Give your answer in standard form.
- 16th January 1970A region is defined by y <= -2x + 9. Should the boundary line be solid or dashed, and why?
- 17th January 1970y is directly proportional to x^2. When x = 4, y = 144. Work out y when x = 8.
- 18th January 1970The point (-3, 3) is enlarged by scale factor -1 about the centre (0, 1). Write down the coordinates of the image.
- 19th January 19701 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th January 197050 newts are marked and released. Later 56 are caught, of which 8 are marked. Estimate the population.
- 21st January 1970Write the recurring decimal 0.222... as a fraction in its simplest form.
- 22nd January 1970Factorise x^2 - 2x - 8.
- 23rd January 1970y is directly proportional to x. When x = 9, y = 72. Work out y when x = 12.
- 24th January 1970Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 810 cm^3. Work out the volume of the smaller.
- 25th January 197029 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th January 1970A cumulative frequency graph is drawn for 180 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 27th January 1970Work out 8^(2/3).
- 28th January 1970Work out the equation of the line parallel to y = 5x - 2 that passes through (5, 24).
- 29th January 1970A town's population is 32000 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
- 30th January 1970A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
- 31st January 19701 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.