Week 63 · Maths Practice Paper

Calculate 4187 + 2956

Calculate 4187 − 2956

Calculate 4193 × 6

Calculate 5184 ÷ 4

A thermometer scale runs from −15°C to 30°C in steps of 5°C; the mercury reaches the 4th mark above 0°C. A second thermometer scale runs from −12°C to 24°C in steps of 4°C; its mercury reaches the 2nd mark below 0°C. Write down the two temperatures shown.

Evaluate the following:

What type of angle (acute, right, obtuse or reflex) is:

What number is sixty-eight less than two-thousand-and-fifteen?

Write down the number represented by MCDXLVII

What fraction is shaded?

Round 48,352 to:

Shape A is a trapezium with parallel sides 5 m and 9 m. Shape B is a parallelogram with sides 6 mm and 9 mm.

Identify the following shapes from their nets:

Here are some numbers: 21, 19, 27, 11, 16, 14

Write the following numbers in order from largest to smallest: 0.528, 0.5, 0.58, 0.058, 0.508

Complete the number sentence: 15 × 3 = ___ + 12 = 70 − ___

What is 58 of 136?

Evaluate the following:

Party hats come in packs of 6. Priya has 50 party hats.

A box of sweets costs £1.85. Charlotte buys four boxes of sweets with a £20 note. How much change does she receive?

Temperatures on 1st January: Rome 4°C, Oslo −1°C, Cairo 7°C, Toronto −5°C, Athens 6°C, Reykjavik ?

An L-shape is made from two rectangles. Its overall height is 10 cm, overall width 14 cm, with a notch 7 cm tall cut from one top corner leaving a top edge of 5 cm. Find the perimeter of the shape.

Find the area of a triangle drawn on a grid (1 square = 1cm²) with base 10 cm and height 4 cm.

A shape is made by joining two congruent right-angled triangles along their hypotenuse to form a rectangle with unequal sides (not a square). How many lines of symmetry does the resulting rectangle have?

A shape has vertices at (2,7), (4,7), (4,5), (6,5), (6,3). Reflect it in the line y = 12 − x. Give the reflected coordinates.

One cup is approximately 240 ml. How many cups are approximately the same as 3.2 litres? Circle the closest answer: 10, 12, 13, 15

A train timetable shows stops at Ashford, Warehorne, Appledore, Snowmond, Ham, Brookland and Dungeness. Train 1: 0715, 0723, 0729, 0736, 0741, 0745, 0749. Train 2: 0730, –, –, 0748, 0753, 0800, 0806. Train 3: 0745, 0753, 0759, 0806, 0811, 0816, 0821. Train 4: 0800, 0808, –, 0821, 0826, 0833, 0839.

A lizard is exactly 6 inches long. Annie says that 2.5 cm is the same as one inch.

You are told that 15 × 1472 = 22,080. Use this answer to work out the values of:

A table shows how many cakes the Maths department sold each year: 2008: 7, 2009: 10, 2010: 9, 2011: 12, 2012: ?, 2013: 13, 2014: 15, 2015: 14, 2016: 18. In 2012 the department forgot to ice their cakes and sold only four cakes.

Fill in the gaps in these sequences:

Put the following numbers in ascending order:

Priya spent 25 of her money on a new top and 34 of the remainder on a skirt. She had £9 left. How much did Priya spend altogether?

To convert kilometres to miles: halve the number and write it down; halve the answer (don't write it down); halve that answer again and write it down; add the two written-down answers together. Example: 88 km → 44 (write) → 22 (don't write) → 11 (write) → 44+11 = 55 miles.

A diagonal joins two non-adjacent vertices of a shape. A square has 2 diagonals; a pentagon has 5.

A pie chart representing 75 pupils' favourite sport shows: Dance = 12 of the pupils, Football = 108° of the circle, Netball = 16%. What fraction of the pupils do Swimming (the remaining slice)?

Three corners of a rectangle are at (2,5), (0,2) and (6,−2). What are the coordinates of the fourth corner?

Sarah's shopping list: 400g potatoes, 4 cauliflowers, 1 bag of 5 pears, 4 cartons of orange juice, 3 pints of milk. Prices: Potatoes £1.40/kg, Cauliflower 90p each (offer: 2 for £1.60), Bag of 5 pears £1.20, Orange juice £1.10/carton (offer: buy 3 get 1 free), Milk: 60p for 1 pint, £1.10 for 2 pints, £1.90 for 4 pints.

Two numbers have a sum of 13 and a product of 36. What is their difference?

On Planet Ward, instead of pounds and pence there are Bits, Coins, Tokens and Crowns: 3 Bit = 5 Coin, 4 Coin = 9 Token, 7 Token = 6 Crown.

A maths quiz has ten questions: 5 marks are added for a correct answer, 1 mark is subtracted for an incorrect answer, 0 marks are given for a question with no answer.

Jill and Jess share some sweets. Jill has seven sweets for every four sweets Jess has. Jill gives twenty-three sweets to Jess. Now, Jill has three sweets for every five sweets Jess has. How many sweets do the girls have altogether?

A cuboid has faces with areas of 20cm², 15cm² and 12cm². What are the lengths of its sides?

Zoe has forgotten the passcode for her locker. She knows it is a 3-digit code using only the digits 2, 5 and 8 (each used exactly once, no repeats). She knows that the first digit is NOT the largest value (8), and the code is an even number. How many possible codes fit these clues, and what are they?

Frances writes down four whole numbers. The average (mean) of her numbers is nine. The difference between the smallest and largest numbers is five. The smallest number is seven. She did not write down the number 8. What numbers did she write down?

What is the largest number of 30cm by 10cm tiles you can fit in a space that is 1m wide and 2m long? Breaking tiles and overlapping tiles is not allowed.

In a magic square, the numbers in each row, column and both diagonals must add to the same number.

Each shape represents a number: diamond + star = pentagon; pentagon + pentagon = octagon; diamond + diamond + star = octagon. What is the value of the star?