Arithmetic, Number Facts and Sequences
Linear & Simultaneous Equations
Simultaneous equations (easier)
Simultaneous equations (less easy)
For everyone
100

148 ÷ 0.1

1480

100

Solve 2x - 5 = 11

8

100

Solve the simultaneous equations:

  1. y=2x+3
  2. 3x−y=7

(10, 23)

100

Solve the simultaneous equations:

  1. 3x+y=8
  2. 2x−3y=1

(5, -7)

100

What letter comes next in the following sequence: 

J, F, M, A, M, J, J, A, S?

O

200
Write down a prime number between 60 and 70
61 or 67
200

Solve 7 = x/2

14

200

y=4x−1

2x+y=11

(2, 7)

200
  • 4x−5y=2
  • 6x+2y=18

(4, 2)

200

What is the tiny plastic piece at the end of a shoelace called?

Aglet

300

The next term of this sequence 1, 3, 6, 10, 15, ...

21

300

Solve this set of simultaneous equations

2x + y = -3 

x - y = -3

x=0

y=3

300
  • y=x+4
  • 4x−y=2

(2, 6)

300
  • x+2y=7
  • 5x−3y=13

(5, 1)

300

What animal's fingerprints are so similar to humans' that they can confuse crime scene investigators?

Koala

400

What is the smallest prime number?

2

400

Solve the following simultaneous equations

3x + 2y = 19 

x + 8y = 21

x= 5, y=2

400
  • y=5x−2
  • 2x+y=12

(2, 8)

400
  • 5x+4y=20
  • 3x−y=5

(4, 0)

400

If you multiply all the numbers on a standard six-sided dice together, what do you get? No calculators

720

500

What is the largest prime number, less than 20

19

500

Solve the following simultaneous equations

x - y = -1

2x - y = 0

x=1, y=2

500
  • y=−3x+7
  • 2x+y=1

(6, -11)

500
  • 2x+3y=11
  • 4x−y=9

(2, 3)

500

How many noses does a slug have?

4

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