Mathematics Diagnostic Tests

The Mathematics Diagnostic Tests by PLS Academy are designed to help students evaluate their preparation for entry tests, FSC exams, ECAT, NUST NET, and NTS exams. These tests cover key topics in algebra, calculus, trigonometry, geometry, and statistics, allowing students to identify strengths, weaknesses, and areas that require improvement. Detailed feedback after each test helps aspirants focus on weak concepts, enhance problem-solving skills, and plan targeted revision. Whether preparing for ECAT, NUST NET, NTS, or FSC Mathematics, these diagnostic tests enable students to track progress, strengthen skills, and optimize their preparation strategy to achieve top scores.

290

Created by PLS Academy

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 20

In any triangle ABC, with usual notation, which one of them is not true

∆ = 1/2 ab sinγ

∆ =1/2 bc sinα

∆ =1/2 α sin β γ/sin α

∆2 =s (s a)(s b)(s c)

2 / 20

The probability that a leap year selected at random will contain 53 sundays, is:

3/7

1/7

2/7

3 / 20

The conic ax²+2hxy+by+2gx+2fy+c=0 never represent a circle if:

a ≠ b. h ≠ 0

h ≠ 0

a=b

h = 0

4 / 20

If A(-1,h), B(3,2) and C(7,3) are collinear, then h =?

-1

None of these

5 / 20

if y=a^x then y_n is equal to (where a>0,xxER)

a^x.Ina

a^nx.lna

a^x(lna)^n

a^nx(lna)^n

6 / 20

360 students study at a school where 248 students study Turkish, 126 study Arabic, and 18 study neither. How many students study both Arabic and Turkish?

7 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

8 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

9 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

10 / 20

47. If the discriminant is negative, then the roots are:

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

11 / 20

If (|r|<1) then, (S_n =)

(frac{a_1 (1 – r^n)}{1-r})

(frac{a_1 (r^n – 1)}{1-r})

(frac{a_1 (r^n – 1)}{r-1})

(frac{a_1 (1 – r^n)}{r-1})

12 / 20

13 / 20

What will be the volume of parallelepiped represented by the vectors u = 9i – 5j, v = 6i – 7j + k, w = i – k?

14 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

15 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

16 / 20

17 / 20

If h² and higher powers of ‘h’ are neglected then √1+2h/1-h

1-3/2h

1+3/2h

1-2/3h

1+2/3h

18 / 20

19 / 20

If the line segment obtained by joining any two points of a region lies entirely within the region is called:

Concave

Convex

Both A and B

None

20 / 20

For an identity cot⁴+ cot²0 = cosec+0 – cosec⁴0, is:

2π

π /2

Non of these

Your score is

Pos.	Name	Score	Duration
1	Anonymous	100 %	48 seconds
2	Muhammad Awais	100 %	51 seconds
3	Saad Khan	100 %	54 seconds
4	Shaista	100 %	55 seconds
5	osaid	100 %	2 minutes 41 seconds
6	ibraheem	95 %	50 seconds
7	Dawood	95 %	52 seconds
8	NONE	95 %	52 seconds
9	abdullah umar	95 %	56 seconds
10	Saad	95 %	1 minutes 1 seconds
11	abdullah umar	95 %	1 minutes 12 seconds
12	Jawad	95 %	1 minutes 26 seconds
13	NONE\	90 %	51 seconds
14	NONE	90 %	56 seconds
15	Muhammad Awais	90 %	1 minutes 6 seconds
16	12345	90 %	1 minutes 11 seconds
17	Bilal	90 %	1 minutes 30 seconds
18	ibraheem	90 %	1 minutes 34 seconds
19	Taha	90 %	1 minutes 56 seconds
20	urwah	90 %	2 minutes 14 seconds
21	sddc	90 %	2 minutes 32 seconds
22	Ahmed Nafees	90 %	4 minutes 20 seconds
23	Maham	90 %	5 minutes 16 seconds
24	Wardan Ahmed	85 %	40 seconds
25	Dawood	85 %	1 minutes 10 seconds
26	Arib	85 %	1 minutes 20 seconds
27	Hello 2	85 %	1 minutes 23 seconds
28	sadi	85 %	1 minutes 47 seconds
29	nelson	85 %	1 minutes 56 seconds
30	Mudasir bangash	85 %	2 minutes 20 seconds
31	Saeed	85 %	2 minutes 46 seconds
32	Wardan Ahmed	80 %	40 seconds
33	dawood	80 %	1 minutes
34	RIDWAN	80 %	1 minutes 13 seconds
35	N	80 %	1 minutes 39 seconds
36	Talha	80 %	1 minutes 49 seconds
37	Najeeb Ahmed	80 %	1 minutes 52 seconds
38	Shifa Arif	80 %	1 minutes 57 seconds
39	Wardan Ahmed	75 %	38 seconds
40	Wardan Ahmed	75 %	40 seconds
41	Wardan Ahmed	75 %	40 seconds
42	Wardan Ahmed	75 %	41 seconds
43	Saif	75 %	57 seconds
44	urwah	75 %	1 minutes 31 seconds
45	Hi	75 %	1 minutes 37 seconds
46	Ahmad	75 %	1 minutes 38 seconds
47	NOONE	75 %	1 minutes 40 seconds
48	rida	75 %	1 minutes 47 seconds
49	Nimra	75 %	1 minutes 54 seconds
50	Ahmad faiz khan	75 %	2 minutes 21 seconds
51	Muhammmad yahya	75 %	2 minutes 26 seconds
52	ma	75 %	2 minutes 47 seconds
53	JawD	75 %	2 minutes 54 seconds
54	Muhammad Awais	75 %	3 minutes 5 seconds
55	Yasir	75 %	6 minutes 16 seconds
56	raomohib	75 %	31 minutes 2 seconds
57	uzair	75 %	34 minutes 30 seconds
58	Hhh	70 %	1 minutes 37 seconds
59	amna	70 %	1 minutes 41 seconds
60	Haseeb	70 %	1 minutes 50 seconds
61	Abdullah umar	70 %	1 minutes 58 seconds
62	Muhammad Essa Mahar	70 %	2 minutes 18 seconds
63	anand	70 %	3 minutes 5 seconds
64	mm alam	70 %	3 minutes 11 seconds
65	fjwkjsj	70 %	10 minutes 28 seconds
66	Muhammad Maaz khan	70 %	17 minutes 40 seconds
67	Wardan Ahmed	65 %	39 seconds
68	Jibrail	65 %	1 minutes 17 seconds
69	Noor	65 %	1 minutes 30 seconds
70	david	65 %	1 minutes 30 seconds
71	Muaz Rana	65 %	1 minutes 53 seconds
72	Adil	65 %	2 minutes 13 seconds
73	Hello	65 %	2 minutes 23 seconds
74	Tanoli Bilal	65 %	2 minutes 28 seconds
75	Abid ur Rahman	65 %	5 minutes 29 seconds
76	Ubaidullah	65 %	7 minutes 13 seconds
77	Wardan Ahmed	60 %	37 seconds
78	Azan	60 %	1 minutes 35 seconds
79	R	60 %	1 minutes 42 seconds
80	Haseeb	60 %	2 minutes 13 seconds
81	Sadia	60 %	2 minutes 21 seconds
82	Miqdam Haider	60 %	2 minutes 31 seconds
83	Azwa mudassar	60 %	4 minutes 59 seconds
84	Zainab	60 %	12 minutes 58 seconds
85	Ibraheem	60 %	13 minutes 11 seconds
86	ggg	60 %	18 minutes 13 seconds
87	fatima	60 %	20 minutes 21 seconds
88	Asfg	60 %	22 minutes 59 seconds
89	op bolty	60 %	36 minutes 57 seconds
90	Nimra	60 %	50 minutes 28 seconds
91	Ayla Saeed	60 %	55 minutes 29 seconds
92	satii	60 %	3 hours 32 minutes 6 seconds
93	Wardan Ahmed	55 %	38 seconds
94	Wardan Ahmed	55 %	39 seconds
95	Ahmad Hassan	55 %	3 minutes 35 seconds
96	Ubaid	55 %	5 minutes 16 seconds
97	Mudasir Jamal	55 %	7 minutes 29 seconds
98	Soem	55 %	8 minutes 46 seconds
99	Muhammad Hamid	55 %	11 minutes 17 seconds
100	Taha	55 %	13 minutes 20 seconds
101	Mee	55 %	17 minutes 49 seconds
102	nemo	55 %	20 minutes 10 seconds
103	None	55 %	25 minutes 16 seconds
104	Maham	55 %	26 minutes 14 seconds
105	Uzair	55 %	28 minutes 36 seconds
106	Abdullah	55 %	41 minutes 29 seconds
107	nelson	55 %	3 hours 35 minutes 50 seconds
108	Noor	50 %	1 minutes 41 seconds
109	Hafsa	50 %	2 minutes 49 seconds
110	Zubaida	50 %	4 minutes 52 seconds
111	Ehsan shah	50 %	5 minutes 6 seconds
112	Safi	50 %	5 minutes 51 seconds
113	As	50 %	6 minutes 17 seconds
114	Sheraz	50 %	6 minutes 24 seconds
115	Iraj	50 %	7 minutes
116	rida	50 %	8 minutes 21 seconds
117	M Miqdam Haider	50 %	8 minutes 36 seconds
118	Mari	50 %	9 minutes 47 seconds
119	sadia	50 %	9 minutes 59 seconds
120	Najeeb Ahmed	50 %	10 minutes 36 seconds
121	Talha Bhatti	50 %	13 minutes 50 seconds
122	osaid	50 %	52 minutes 56 seconds
123	Dawood	45 %	27 seconds
124	Wardan Ahmed	45 %	37 seconds
125	GHULAM	45 %	1 minutes 58 seconds
126	Usama	45 %	2 minutes 5 seconds
127	iufudfud	45 %	2 minutes 9 seconds
128	Saif khan	45 %	2 minutes 56 seconds
129	Dileep	45 %	3 minutes 28 seconds
130	amna	45 %	3 minutes 47 seconds
131	..	45 %	4 minutes 20 seconds
132	peaky blinder	45 %	5 minutes 8 seconds
133	Siwiw	45 %	5 minutes 11 seconds
134	Muaz Rana	45 %	6 minutes 14 seconds
135	Muhammmad yahya	45 %	6 minutes 22 seconds
136	Ahmad	45 %	7 minutes 34 seconds
137	Muhammad Ali	45 %	7 minutes 52 seconds
138	Jawad	45 %	8 minutes 33 seconds
139	NONE OF YOU CONCERN	45 %	8 minutes 36 seconds
140	hi	45 %	9 minutes 5 seconds
141	Haroon	45 %	14 minutes 19 seconds
142	Raj rathi	45 %	17 minutes 17 seconds
143	anand	45 %	17 minutes 35 seconds
144	Hafeezullah	45 %	21 minutes 49 seconds
145	Adnanh	45 %	59 minutes 58 seconds
146	Hamza Jadoon	45 %	1 hours 2 minutes 30 seconds
147	Wardan Ahmed	40 %	2 minutes 15 seconds
148	Fawad Jillani	40 %	3 minutes 5 seconds
149	Seemab	40 %	3 minutes 48 seconds
150	Haha	40 %	3 minutes 59 seconds
151	Huzaifa ali	40 %	4 minutes 28 seconds
152	Ahmad Ali	40 %	7 minutes 3 seconds
153	MUHAMMAD NOMAN WAJID	40 %	7 minutes 21 seconds
154	Maaz	40 %	7 minutes 52 seconds
155	ma	40 %	8 minutes 32 seconds
156	Kashif Iqbal	40 %	11 minutes 16 seconds
157	anon	40 %	11 minutes 23 seconds
158	Fatima Ajmal	40 %	13 minutes 17 seconds
159	Najeeb Ahmed	40 %	13 minutes 40 seconds
160	jawad ahmed	40 %	13 minutes 50 seconds
161	TOUQEER ABBAS	40 %	14 minutes 22 seconds
162	.	40 %	15 minutes 19 seconds
163	Shifa Arif	40 %	15 minutes 30 seconds
164	rida	40 %	15 minutes 51 seconds
165	fawad	40 %	17 minutes 53 seconds
166	Saeed ullah shah	40 %	19 minutes 42 seconds
167	HIBA	35 %	37 seconds
168	Wardan Ahmed	35 %	44 seconds
169	Wardan Ahmed	35 %	48 seconds
170	Hamna	35 %	1 minutes 8 seconds
171	Qasim	35 %	1 minutes 31 seconds
172	Muhammad Momin Sajjad	35 %	1 minutes 50 seconds
173	Sadam Hussain	35 %	2 minutes 14 seconds
174	Amir	35 %	2 minutes 24 seconds
175	Jibrail	35 %	3 minutes 59 seconds
176	Haseeb	35 %	4 minutes 12 seconds
177	madiha	35 %	4 minutes 28 seconds
178	arhum	35 %	4 minutes 28 seconds
179	arya	35 %	6 minutes 1 seconds
180	Muhammad Awais	35 %	6 minutes 2 seconds
181	maaz	35 %	6 minutes 19 seconds
182	Muhammad Ahmad	35 %	6 minutes 34 seconds
183	m	35 %	6 minutes 49 seconds
184	Furqan Ahmed	35 %	6 minutes 55 seconds
185	Muhammad saad ur rehman	35 %	7 minutes 15 seconds
186	Dawood	35 %	7 minutes 24 seconds
187	Nn	35 %	7 minutes 29 seconds
188	Azwa Mudassar	35 %	9 minutes 36 seconds
189	Wajiha	35 %	10 minutes 19 seconds
190	Ahmed Nafees	35 %	12 minutes 24 seconds
191	Fatima	35 %	12 minutes 38 seconds
192	sunila	35 %	13 minutes 13 seconds
193	Ayesha	35 %	13 minutes 53 seconds
194	Moiz	35 %	14 minutes 59 seconds
195	za	35 %	15 minutes 15 seconds
196	sded	35 %	16 minutes 7 seconds
197	Usman Malik	35 %	17 minutes 9 seconds
198	A.	35 %	17 minutes 33 seconds
199	YaSiR	35 %	24 minutes 13 seconds
200	Talha	35 %	25 minutes 12 seconds
201	eman	30 %	1 minutes 15 seconds
202	tashfeen	30 %	1 minutes 37 seconds
203	M Miqdam Haider	30 %	2 minutes 34 seconds
204	Abdullah umar	30 %	2 minutes 37 seconds
205	Muhammad Abu Zar	30 %	2 minutes 44 seconds
206	Rukhsh	30 %	2 minutes 46 seconds
207	Abdullah	30 %	2 minutes 52 seconds
208	Aniya	30 %	3 minutes 8 seconds
209	Ss	30 %	4 minutes 4 seconds
210	GHULAM JILANI	30 %	4 minutes 17 seconds
211	fiza	30 %	4 minutes 43 seconds
212	Rameez	30 %	4 minutes 44 seconds
213	Sohaib Hafeez	30 %	5 minutes 4 seconds
214	ahmar	30 %	5 minutes 34 seconds
215	Ubaid	30 %	5 minutes 54 seconds
216	Haseeb	30 %	6 minutes 4 seconds
217	Asma	30 %	6 minutes 15 seconds
218	Who cares	30 %	6 minutes 46 seconds
219	Arib	30 %	7 minutes 17 seconds
220	muhammad sohaib	30 %	8 minutes 10 seconds
221	Ahmad faiz khan	30 %	8 minutes 11 seconds
222	nemo	30 %	12 minutes 51 seconds
223	Faiq Waleed	30 %	12 minutes 52 seconds
224	Ismail Ismail	30 %	14 minutes 56 seconds
225	y	30 %	16 minutes 32 seconds
226	Zeeshanjaat	30 %	18 minutes 43 seconds
227	ume ayesha	30 %	22 minutes 30 seconds
228	Ggfgh	30 %	23 minutes 33 seconds
229	PLSBOOST	25 %	33 seconds
230	M.FAIZAN SAFDAR	25 %	2 minutes 4 seconds
231	anaya noor	25 %	2 minutes 21 seconds
232	H	25 %	2 minutes 38 seconds
233	Dawood	25 %	2 minutes 43 seconds
234	Kashif	25 %	3 minutes 13 seconds
235	my	25 %	4 minutes 15 seconds
236	Iqra	25 %	4 minutes 25 seconds
237	hassan	25 %	4 minutes 30 seconds
238	Muhammad Taha Khalid	25 %	4 minutes 40 seconds
239	Saad Khan	25 %	5 minutes 13 seconds
240	Bial	25 %	5 minutes 24 seconds
241	urwah	25 %	5 minutes 31 seconds
242	Abdullah	25 %	5 minutes 38 seconds
243	Muhammad Moeen	25 %	6 minutes 33 seconds
244	Mari	25 %	6 minutes 54 seconds
245	Muneeb	25 %	7 minutes 9 seconds
246	malika	25 %	7 minutes 25 seconds
247	Sadia	25 %	9 minutes 19 seconds
248	Adil	25 %	10 minutes 5 seconds
249	adnan ashiq	25 %	10 minutes 7 seconds
250	ridwan	25 %	13 minutes 23 seconds
251	T	25 %	18 minutes 27 seconds
252	sadaf	25 %	27 minutes 34 seconds
253	groots	25 %	29 minutes 39 seconds
254	maliksubhan	20 %	1 minutes 30 seconds
255	R	20 %	2 minutes 23 seconds
256	Ayesha	20 %	2 minutes 44 seconds
257	Muhammad Ali	20 %	3 minutes
258	Hasnain	20 %	3 minutes 2 seconds
259	Muhammad Musa Shahid	20 %	3 minutes 34 seconds
260	Noor	20 %	4 minutes 3 seconds
261	Bilal	20 %	5 minutes 7 seconds
262	Hamza	20 %	6 minutes 19 seconds
263	kk	20 %	7 minutes 5 seconds
264	Mahad	20 %	8 minutes 5 seconds
265	Muhammad Essa Mahar	20 %	8 minutes 49 seconds
266	Wilayat Ali	20 %	9 minutes 53 seconds
267	Ubaidullah	20 %	10 minutes 58 seconds
268	Daniyal	20 %	26 minutes 24 seconds
269	anaya noor	15 %	1 minutes 19 seconds
270	Annu	15 %	2 minutes 35 seconds
271	Elsa	15 %	2 minutes 57 seconds
272	R	15 %	2 minutes 58 seconds
273	Bilal	15 %	3 minutes 44 seconds
274	Abdullah abbas	15 %	4 minutes 7 seconds
275	Safi ullah	15 %	5 minutes 22 seconds
276	Sateedan	15 %	7 minutes 9 seconds
277	Abid ur Rahman	15 %	8 minutes 34 seconds
278	Fehria Zainab	15 %	13 minutes 11 seconds
279	Talha	10 %	2 minutes 21 seconds
280	Fatima Navaid	5 %	47 seconds
281	MUHAMMAD ABDULLAH	5 %	51 seconds
282	Amina	5 %	2 minutes 2 seconds
283	anaya noor	5 %	3 minutes
284	Name	5 %	8 minutes 3 seconds
285	abdullah umar	0 %	19 seconds
286	ISRAR ALI	0 %	25 seconds
287	azan ali shah	0 %	27 seconds
288	Mahamfaryad	0 %	54 seconds
289	Alisha noor	0 %	1 minutes 9 seconds
290	Umer	0 %	1 minutes 29 seconds

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