0580.E2.3.05 — 1 +x+1.: past paper questions

Real questions on 0580.e2.3.05 — 1 +x+1.

The newest 6 of 6 written questions. Open one to see it on the real paper.

1. 0980/41 · October/November 2024 · Q8a(i)[2]
   (a) $f(x)=7-3x$ $g(x)=x^2-16$ (i) Find the values of $x$ when $g(x)=20$.See it on the paper →
2. 0980/12 · May/June 2024 · Q21[1]
   $5^7÷5^x=5^3$ Find the value of $x$. $x=$See it on the paper →
3. 0980/41 · October/November 2022 · Q9a(i)[2]
   9 (a) [Diagram: Two rectangles. Rectangle A has height $x$ cm and width $(3x+4)$ cm. Rectangle B has height $2$ cm and width $(x-1)$ cm. Labelled NOT TO SCALE.] The total of the areas of rectangles $A$ and $B$ is $20{\text{ cm}}^2$. (i) Show that $3x^2+6x-22=0$.See it on the paper →
4. 0980/41 · October/November 2022 · Q9a(ii)[4]
   [Diagram: Two rectangles, A and B, NOT TO SCALE. Rectangle A has height $x$ cm and width $(3x+4)$ cm. Rectangle B has height $2$ cm and width $(x-1)$ cm.] The total of the areas of rectangles $A$ and $B$ is $20{\text{ cm}}^2$. (ii) Solve the equation $3x^2+6x-22=0$, giving your answers correct to 4 significant fig...See it on the paper →
5. 0980/41 · October/November 2022 · Q9b[7]
   (b) [Diagram: Two rectangles, NOT TO SCALE. Left rectangle has height $H$ cm, width $(y-2)$ cm, and Area $15{\text{ cm}}^2$. Right rectangle has height $h$ cm, width $y$ cm, and Area $20{\text{ cm}}^2$.] The diagram shows two rectangles where $H-h=1$. By forming a quadratic equation and factorising, find the value of...See it on the paper →
6. 0980/21 · October/November 2020 · Q17a[2]
   17 (a) f(x) = 3x^2 + a where a is an integer. f(-2) = 19 Find the value of a.See it on the paper →

What examiners said

A high proportion of candidates understood the rules of indices and applied them successfully.

— Examiner report, May/June 2024, 0980/12 Q21 (Cambridge)

Most candidates found this ‘show that’ part quite straightforward and earned full marks. Some candidates lost both marks because of not starting with bracketed expressions and a few candidates lost the accuracy mark through omitting a term from the equation, often the zero. A few other candidates equated the areas instead of adding them. A small number of candidates misinterpreted the question as...

— Examiner report, October/November 2022, 0980/41 Q9(a)(i) (Cambridge)

The solving of the quadratic equation was well done with many candidates using the formula and showing their working. Some candidates lost one mark due to not giving their answers correct to four significant figures. A few candidates did not show their working as they started with the exact answers from their calculator. A small number of candidates did not know the quadratic equation formula. was...

— Examiner report, October/November 2022, 0980/41 Q9(a)(ii) (Cambridge)