1.
Which of the following calculations gives the largest answer?
2.
Nadya is baking a cake. The recipe says that her cake should be baked in the oven for 1 hour and 35 minutes. She puts the cake in the oven at 11:40 am. At what time should she take the cake out of the oven?
3.
What is the value of x?
4.
A download is 95% complete. What fraction is yet to be downloaded?
5.
What is the value of 201 x 7 - 7 x 102?
6.
In a magic square, the numbers in each row, each column, and the two main diagonals have the same total. This magic square uses the integers 2 to 10. Which of the following are the missing cells?
7.
If you work out the values of the following expressions and then place them in increasing numerical order, which comes in the middle?
8.
The diagram shows a rectangle PQRS and T is a point on PS such that QT is perpendicular to RT.
The length of QT is 4 cm. The length of RT is 2 cm.
What is the area of the rectangle PQRS?
9.
In William Shakespeare's play "As you like it". Rosalind speaks to Orlando about "He that will divide a minute into a thousand parts".
Which of the following is equal to the number of seconds in one-thousandth of one minute?
10.
Which of the following integers is not a multiple of 45?
11.
Seven squares are drawn on the sides of a heptagon so that they are outside the heptagon, as shown on the diagram.
What is the sum of the seven marked angles?
12.
Last year, at the school where Gill teaches Mathematics, 315 out of 360 pupils were girls.
This year, the number of pupils in the school increased to 640. The proportion of girls is the same as it was last year.
How many girls are there at the school this year?
13.
Consider the following statements.
i) Doubling a positive number always makes it larger
ii) Squaring a positive number always makes it larger.
iii) Taking the positive square root of a positive number always makes it smaller.
Which statements are true?
14.
Mathias is given a grid of twelve small squares. He is asked to shade grey exactly four of the small squares so that his grid has two lines of reflection symmetry.
How many different grids could he produce?
15.
What is the remainder when the square of 49 is divided by the square root of 49?
16.
In New Threeland there are three types of coins: the 2p, the 5p and one other. The smallest number of coins needed to make 13p is three. The smallest number of coins needed to make 19p is three. what is the value of the third coin?
17.
I add up all even numbers between 1 and 101. Then from my total I subtract all odd numbers between 0 and 100.
What is the result?
18.
The diagram shows a regular hexagon, a square and an equilateral triangle.
What is the angle TVU?
19.
The range of a list of integers is 20, and the median is 17.
What is the smallest possible number of integers in the list?
20.
The small trapezium on the right has three equal sides and angles of 60 and 120. Nine copies of this trapezium can be placed together to make a larger version of it, as shown.
The larger trapezium has perimeter 18 cm
What is the perimeter of the smaller trapezium?