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. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
Level 1 · Warm-up
1 A complete row of a magic square reads 2, 7, 6. What is the magic total?
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2 + 7 + 6 = 15.
2 The magic total is 15. Write the number needed to complete a row reading 4, 9 and a gap, and the number needed for a column reading 8 and 3.
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2 and 4.
3 A magic square has a total of 15. A row reads 3, 5 and a gap. What number fills the gap?
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7.
Level 2 · Core
4 In this sequence each term is the sum of the three before it. What is the seventh term?
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The seventh term is 6 + 11 + 20 = 37.
5 In the sequence 2, 5, ?, 15, 28 each term is the sum of the three before it. Write the missing term, and the term that would come after 28.
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The missing term is 8, and 8 + 15 + 28 = 51.
6 In a sequence where each term is the sum of the three before it, the terms 1, 2, 3 start it off. What is the fourth term?
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6.
Level 3 · Challenge
7 A 3 by 3 magic square has top row 8, 1, 6 and middle cell 5.1 The magic total is 15.
2 The middle of the bottom row is 9.
3 The bottom left cell is 2.
Which statements are correct?
2 The middle of the bottom row is 9.
3 The bottom left cell is 2.
Which statements are correct?
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Total 15 (1 ✓). Middle column 1 + 5 + ? = 15, so 9 (2 ✓). The bottom left is 15 − 9 − 2 = 4, not 2 (3 ✗). 1 and 2.
8 The magic total is 15 and the square has top row 8, 1, 6 with 5 in the middle. Write the bottom right cell and the middle of the bottom row.
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Diagonal: 15 − 8 − 5 = 2. Middle column: 15 − 1 − 5 = 9.
9 In a sequence each term is the sum of the three before it. The sequence reads 2, 5, 8, 15, 28. What is the term after 28?
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51.