Download and practise with this Dzivaresekwa 1 High School Form 4 Mathematics Midyear 2024 question paper. Useful for school exam revision, classroom practice, homework support, and preparation in Zimbabwe.
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This is the Mathematics question paper for Paper 2 from Midyear 2024. Use it for exam practice under timed conditions. Time allowed: 2 hours 30 minutes.
DZIVARESEKWA 1 HIGH SCHOOL MID YEAR EXAMINATIONS 2024-
FORM MATHS PAPER
THME 2 hours 30 minutes
Write your name, Centre number and candidase namber in the spaces provided on the
INSTRUCTIONS TO CANDIDATES answer paper/answer booklet.
Answer all questions in Section A and any Four $R$ questions from Section B.
HS
Write your answers on the separate answer paper provided.
If you use more than one sheet of paper, fastein the sheets together.
Electrowic calculators may he used.
All working must be clearly shown. It should be done on the sarne sheet as the rest of the answer.
Omission of essemial working will result in loss of marks.
If the degree of accuracy is not specified in the question and if the answer is not exact, the answer should be given to three significant figures. Answers in degrees should be given to one decimal place.
INFORMATION FOR CANDIDATES
The number of marks is given in hrackets 4 ar the end of each question or part question. Mathematical tables or electronic caunlators may be used to evaluate explicit numerical expressions.
Answer all the questions in this section.
1. (a) Simplify $15,6-3 \times 4,6$.
41
(b) Express $\frac{8}{x+1}-3$ as a single fraction in its simplest form.
[2]
(c) Solve the equation $\frac{2}{3}(p+1)=2 \frac{1}{5}$.
[3]
(d) Factorise completely
(i) $2 a x+3 a y+4 x+6 y$,
(ii) $8 x^{2}-18$.
[4]
2 (a) Given that $x$ is an odd number, find the possible values of $x$, which satisfy the inequalities
$x \geq 3 \operatorname{and} 5 x-10<35$.
[2]
(b) If $f(x)=x^{2}-2 x+k$, where $k$ is a constant, and $f(3)=-32$, find the value of k.
Hence, find the values of $x$ for which $f(x)=0$.
(3) (3)
(c) Albert can weed the family garden in 4 hours. His sister, Biddy, takes 6 hours to complete the same job.
If they decide to work together, assuming they maintain their worling rates, calculate
(i) the fraction of the ganden that they can weed in 1 hour,
in The total time they can take tra weed whole gatere.