Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown.
Level 1 · Warm-up
1 A number plus 8 equals 23. Find the number.
Show worked solution
x + 8 = 23, so x = 15.
2 Two consecutive numbers add to 45. What is the smaller one?
Show worked solution
x + (x + 1) = 45 → 2x = 44 → x = 22 (the numbers are 22 and 23).
3 Five tickets plus a $4 booking fee cost $59. Find the price of one ticket, in dollars.
Show worked solution
5x + 4 = 59 → 5x = 55 → x = $11.
Level 2 · Core
4 Ben is 4 years older than Amy and together they are 26. How old is Ben?
Show worked solution
x + (x + 4) = 26 → x = 11 (Amy), so Ben is 15.
5 Three consecutive numbers add to 72. What is the LARGEST?
Show worked solution
3x + 3 = 72 → x = 23, so the largest is 25.
6 A rope 19 m long is cut into two pieces, one 3 m longer than the other. How long is the SHORTER piece, in metres?
Show worked solution
x + (x + 3) = 19 → 2x = 16 → x = 8 m (the other is 11 m).
Level 3 · Challenge
7 A rectangle has perimeter 46 cm and its length is 5 cm more than its width. Find the LENGTH, in cm.
Show worked solution
4x + 10 = 46 → x = 9 (width), so the length is 14 cm.
8 Three consecutive EVEN numbers add to 90. What is the smallest?
Show worked solution
3x + 6 = 90 → 3x = 84 → x = 28 (28, 30, 32).
9 A number is doubled and then 7 is added, giving 31. Find the number.
Show worked solution
2x + 7 = 31 → 2x = 24 → x = 12.