0580.C1.1.05 — Identify and use: square numbers.: past paper questions

Real questions on 0580.c1.1.05 — identify and use: square numbers.

The newest 8 of 8 written questions. Open one to see it on the real paper.

1. 0980/32 · May/June 2024 · Q1a(ii)[1]
   (a) 6 7 10 12 18 32 49 63 From this list of numbers, write down (ii) a square numberSee it on the paper →
2. 0980/31 · October/November 2023 · Q1c(iii)[1]
   (c)    6   9   $\sqrt{100}$   28   31   $\sqrt{1000}$   32   36 From this list of numbers, write down (iii) a square numberSee it on the paper →
3. 0980/22 · May/June 2021 · Q12a(i)[1]
   $\mathcal{E}=\{\text{integers greater than }2\}$ $A=\{\text{prime numbers}\}$ $B=\{\text{odd numbers}\}$ $C=\{\text{square numbers}\}$ (i) Describe the type of numbers in the set $B^{\prime }\cap C$.See it on the paper →
4. 0980/12 · May/June 2020 · Q11a[1]
   11 Write down (a) a square number greater than $10$,See it on the paper →
5. 0980/22 · May/June 2020 · Q4a[1]
   4 Write down (a) a square number greater than $10$,See it on the paper →
6. 0980/11 · October/November 2019 · Q13[2]
   13 Calculate the area of a circle with radius $12$ cm. .................................................... ${\text{cm}}^2$See it on the paper →
7. 0980/31 · October/November 2019 · Q9b(ii)[2]
   (b) The $n$th term of another sequence is $n^2+5$. (ii) Show that 261 is a term in this sequence.See it on the paper →
8. 0980/12 · May/June 2019 · Q17a[2]
   17 (a) Show that there is not a square number between 50 and 60.See it on the paper →

What examiners said

Identifying a square number from the list was as successful as (c)(ii). The most common error was choosing 100 , showing understanding that 100 is a square number but not taking the root into consideration.

— Examiner report, October/November 2023, 0980/31 Q1(c)(iii) (Cambridge)

This ‘show that’ question proved to be the most challenging part of this question. Candidates found it difficult to fully show why 261 was in the sequence with many candidates only gaining partial credit for a partial solution. To earn full credit candidates could show that 261 was the 16th term of the sequence by solving n2 + 5 = 261 with all the required intermediate steps. Alternatively they co...

— Examiner report, October/November 2019, 0980/31 Q9(b)(ii) (Cambridge)

Many candidates wrote out the square roots of the numbers from 50 to 60 but nearly all did not write why this showed that no square number existed in that range so gained only partial credt. No mark was given for just writing 50 , 51 , etc. without any values of them or simplifications such as √50 = 5√2. Those choosing to investigate the squares of integers soon realised and showed that none had a...

— Examiner report, May/June 2019, 0980/12 Q17(a) (Cambridge)