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.

363

Created by PLS Academy

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 20

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

2π

π /2

Non of these

2 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

3 / 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

4 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

5 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

6 / 20

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

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

7 / 20

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

3/7

1/7

2/7

8 / 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

9 / 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

10 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

11 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

12 / 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

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

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)

15 / 20

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

-1

None of these

16 / 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})

17 / 20

18 / 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?

19 / 20

20 / 20

Your score is

Pos.	Name	Score	Duration
1	AHMAD ALI	100 %	46 seconds
2	Anonymous	100 %	48 seconds
3	Muhammad Awais	100 %	51 seconds
4	Saad Khan	100 %	54 seconds
5	Shaista	100 %	55 seconds
6	Danyal	100 %	1 minutes 16 seconds
7	Zaib-un-Nisa	100 %	1 minutes 50 seconds
8	osaid	100 %	2 minutes 41 seconds
9	ibraheem	95 %	50 seconds
10	Dawood	95 %	52 seconds
11	NONE	95 %	52 seconds
12	1	95 %	56 seconds
13	abdullah umar	95 %	56 seconds
14	Saad	95 %	1 minutes 1 seconds
15	Yahya Asad	95 %	1 minutes 12 seconds
16	abdullah umar	95 %	1 minutes 12 seconds
17	Jawad	95 %	1 minutes 26 seconds
18	NONE\	90 %	51 seconds
19	NONE	90 %	56 seconds
20	Muhammad Awais	90 %	1 minutes 6 seconds
21	12345	90 %	1 minutes 11 seconds
22	sms	90 %	1 minutes 16 seconds
23	Saad saeed	90 %	1 minutes 22 seconds
24	Bilal	90 %	1 minutes 30 seconds
25	ibraheem	90 %	1 minutes 34 seconds
26	Taha	90 %	1 minutes 56 seconds
27	Naz	90 %	2 minutes 1 seconds
28	urwah	90 %	2 minutes 14 seconds
29	sddc	90 %	2 minutes 32 seconds
30	Ahmed Nafees	90 %	4 minutes 20 seconds
31	Maham	90 %	5 minutes 16 seconds
32	Wardan Ahmed	85 %	40 seconds
33	Dawood	85 %	1 minutes 10 seconds
34	Arib	85 %	1 minutes 20 seconds
35	Hello 2	85 %	1 minutes 23 seconds
36	sadi	85 %	1 minutes 47 seconds
37	nelson	85 %	1 minutes 56 seconds
38	DKrfkf	85 %	2 minutes 17 seconds
39	Mudasir bangash	85 %	2 minutes 20 seconds
40	Saeed	85 %	2 minutes 46 seconds
41	Rehan lodhi	85 %	3 minutes 6 seconds
42	Wardan Ahmed	80 %	40 seconds
43	dawood	80 %	1 minutes
44	Gggg	80 %	1 minutes 4 seconds
45	RIDWAN	80 %	1 minutes 13 seconds
46	N	80 %	1 minutes 39 seconds
47	Talha	80 %	1 minutes 49 seconds
48	Najeeb Ahmed	80 %	1 minutes 52 seconds
49	Shifa Arif	80 %	1 minutes 57 seconds
50	Wardan Ahmed	75 %	38 seconds
51	Wardan Ahmed	75 %	40 seconds
52	Wardan Ahmed	75 %	40 seconds
53	Wardan Ahmed	75 %	41 seconds
54	Saif	75 %	57 seconds
55	urwah	75 %	1 minutes 31 seconds
56	Hi	75 %	1 minutes 37 seconds
57	Ahmad	75 %	1 minutes 38 seconds
58	NOONE	75 %	1 minutes 40 seconds
59	rida	75 %	1 minutes 47 seconds
60	Nimra	75 %	1 minutes 54 seconds
61	Zakirullah	75 %	1 minutes 55 seconds
62	Ahmad faiz khan	75 %	2 minutes 21 seconds
63	Muhammmad yahya	75 %	2 minutes 26 seconds
64	ma	75 %	2 minutes 47 seconds
65	JawD	75 %	2 minutes 54 seconds
66	Muhammad Awais	75 %	3 minutes 5 seconds
67	Harram	75 %	5 minutes 39 seconds
68	Yasir	75 %	6 minutes 16 seconds
69	raomohib	75 %	31 minutes 2 seconds
70	uzair	75 %	34 minutes 30 seconds
71	Hhhh	70 %	1 minutes 8 seconds
72	Hhh	70 %	1 minutes 37 seconds
73	amna	70 %	1 minutes 41 seconds
74	Haseeb	70 %	1 minutes 50 seconds
75	Abdullah umar	70 %	1 minutes 58 seconds
76	Muhammad Essa Mahar	70 %	2 minutes 18 seconds
77	anand	70 %	3 minutes 5 seconds
78	mm alam	70 %	3 minutes 11 seconds
79	Zakirullah	70 %	3 minutes 35 seconds
80	.	70 %	4 minutes 28 seconds
81	fjwkjsj	70 %	10 minutes 28 seconds
82	Muhammad Maaz khan	70 %	17 minutes 40 seconds
83	Danyal	70 %	18 minutes 19 seconds
84	Zaib-un-Nisa	70 %	19 minutes 48 seconds
85	Wardan Ahmed	65 %	39 seconds
86	Ali	65 %	55 seconds
87	Jibrail	65 %	1 minutes 17 seconds
88	Noor	65 %	1 minutes 30 seconds
89	david	65 %	1 minutes 30 seconds
90	Muaz Rana	65 %	1 minutes 53 seconds
91	Adil	65 %	2 minutes 13 seconds
92	Hello	65 %	2 minutes 23 seconds
93	Tanoli Bilal	65 %	2 minutes 28 seconds
94	Abid ur Rahman	65 %	5 minutes 29 seconds
95	Ubaidullah	65 %	7 minutes 13 seconds
96	MUHAMMAD ABDULLAH	65 %	28 minutes 55 seconds
97	Wardan Ahmed	60 %	37 seconds
98	Azan	60 %	1 minutes 35 seconds
99	R	60 %	1 minutes 42 seconds
100	Haseeb	60 %	2 minutes 13 seconds
101	Sadia	60 %	2 minutes 21 seconds
102	Miqdam Haider	60 %	2 minutes 31 seconds
103	Azwa mudassar	60 %	4 minutes 59 seconds
104	Zainab	60 %	12 minutes 58 seconds
105	Ibraheem	60 %	13 minutes 11 seconds
106	ggg	60 %	18 minutes 13 seconds
107	fatima	60 %	20 minutes 21 seconds
108	Asfg	60 %	22 minutes 59 seconds
109	op bolty	60 %	36 minutes 57 seconds
110	Nimra	60 %	50 minutes 28 seconds
111	Ayla Saeed	60 %	55 minutes 29 seconds
112	satii	60 %	3 hours 32 minutes 6 seconds
113	Wardan Ahmed	55 %	38 seconds
114	Wardan Ahmed	55 %	39 seconds
115	Zakirullah 03467778406	55 %	3 minutes 21 seconds
116	Ahmad Hassan	55 %	3 minutes 35 seconds
117	Ubaid	55 %	5 minutes 16 seconds
118	Mudasir Jamal	55 %	7 minutes 29 seconds
119	Meerab Jawwad	55 %	8 minutes 9 seconds
120	Soem	55 %	8 minutes 46 seconds
121	Muhammad Hamid	55 %	11 minutes 17 seconds
122	Taha	55 %	13 minutes 20 seconds
123	Mee	55 %	17 minutes 49 seconds
124	MANAHIL03171461578	55 %	19 minutes 40 seconds
125	nemo	55 %	20 minutes 10 seconds
126	None	55 %	25 minutes 16 seconds
127	Maham	55 %	26 minutes 14 seconds
128	Uzair	55 %	28 minutes 36 seconds
129	Kisa	55 %	29 minutes 44 seconds
130	Abdullah	55 %	41 minutes 29 seconds
131	nelson	55 %	3 hours 35 minutes 50 seconds
132	Ali	50 %	1 minutes 13 seconds
133	Noor	50 %	1 minutes 41 seconds
134	Hafsa	50 %	2 minutes 49 seconds
135	Fghhh	50 %	2 minutes 54 seconds
136	Anjan	50 %	3 minutes 49 seconds
137	Zubaida	50 %	4 minutes 52 seconds
138	Ehsan shah	50 %	5 minutes 6 seconds
139	Safi	50 %	5 minutes 51 seconds
140	sms	50 %	6 minutes 4 seconds
141	As	50 %	6 minutes 17 seconds
142	Sheraz	50 %	6 minutes 24 seconds
143	Iraj	50 %	7 minutes
144	rida	50 %	8 minutes 21 seconds
145	M Miqdam Haider	50 %	8 minutes 36 seconds
146	Mari	50 %	9 minutes 47 seconds
147	sadia	50 %	9 minutes 59 seconds
148	Najeeb Ahmed	50 %	10 minutes 36 seconds
149	Talha Bhatti	50 %	13 minutes 50 seconds
150	none	50 %	31 minutes 32 seconds
151	osaid	50 %	52 minutes 56 seconds
152	abdul hadi	50 %	1 hours 23 minutes 37 seconds
153	Dawood	45 %	27 seconds
154	Wardan Ahmed	45 %	37 seconds
155	1	45 %	1 minutes 34 seconds
156	GHULAM	45 %	1 minutes 58 seconds
157	Usama	45 %	2 minutes 5 seconds
158	iufudfud	45 %	2 minutes 9 seconds
159	Angel	45 %	2 minutes 19 seconds
160	Ggggg	45 %	2 minutes 27 seconds
161	Hhhh	45 %	2 minutes 35 seconds
162	Saif khan	45 %	2 minutes 56 seconds
163	Dileep	45 %	3 minutes 28 seconds
164	amna	45 %	3 minutes 47 seconds
165	..	45 %	4 minutes 20 seconds
166	peaky blinder	45 %	5 minutes 8 seconds
167	Siwiw	45 %	5 minutes 11 seconds
168	Muaz Rana	45 %	6 minutes 14 seconds
169	Muhammmad yahya	45 %	6 minutes 22 seconds
170	Ahmad	45 %	7 minutes 34 seconds
171	Muhammad Ali	45 %	7 minutes 52 seconds
172	Jawad	45 %	8 minutes 33 seconds
173	NONE OF YOU CONCERN	45 %	8 minutes 36 seconds
174	hi	45 %	9 minutes 5 seconds
175	Yahya Asad	45 %	12 minutes 31 seconds
176	rr	45 %	12 minutes 44 seconds
177	Haroon	45 %	14 minutes 19 seconds
178	Raj rathi	45 %	17 minutes 17 seconds
179	anand	45 %	17 minutes 35 seconds
180	Hafeezullah	45 %	21 minutes 49 seconds
181	Roshaan	45 %	44 minutes 6 seconds
182	Adnanh	45 %	59 minutes 58 seconds
183	Hamza Jadoon	45 %	1 hours 2 minutes 30 seconds
184	Wardan Ahmed	40 %	2 minutes 15 seconds
185	Muzammal	40 %	2 minutes 58 seconds
186	Fawad Jillani	40 %	3 minutes 5 seconds
187	Seemab	40 %	3 minutes 48 seconds
188	Haha	40 %	3 minutes 59 seconds
189	Momina hameed	40 %	4 minutes 2 seconds
190	Huzaifa ali	40 %	4 minutes 28 seconds
191	sms	40 %	6 minutes 53 seconds
192	Ahmad Ali	40 %	7 minutes 3 seconds
193	jj	40 %	7 minutes 18 seconds
194	MUHAMMAD NOMAN WAJID	40 %	7 minutes 21 seconds
195	Abdul Moeed	40 %	7 minutes 34 seconds
196	Maaz	40 %	7 minutes 52 seconds
197	ma	40 %	8 minutes 32 seconds
198	harram	40 %	9 minutes 58 seconds
199	Kashif Iqbal	40 %	11 minutes 16 seconds
200	anon	40 %	11 minutes 23 seconds
201	Fatima Ajmal	40 %	13 minutes 17 seconds
202	Najeeb Ahmed	40 %	13 minutes 40 seconds
203	jawad ahmed	40 %	13 minutes 50 seconds
204	TOUQEER ABBAS	40 %	14 minutes 22 seconds
205	.	40 %	15 minutes 19 seconds
206	Shifa Arif	40 %	15 minutes 30 seconds
207	rida	40 %	15 minutes 51 seconds
208	fawad	40 %	17 minutes 53 seconds
209	Saeed ullah shah	40 %	19 minutes 42 seconds
210	HIBA	35 %	37 seconds
211	Wardan Ahmed	35 %	44 seconds
212	Wardan Ahmed	35 %	48 seconds
213	Hamna	35 %	1 minutes 8 seconds
214	A	35 %	1 minutes 24 seconds
215	Qasim	35 %	1 minutes 31 seconds
216	Muhammad Momin Sajjad	35 %	1 minutes 50 seconds
217	Fizza	35 %	2 minutes 11 seconds
218	Sadam Hussain	35 %	2 minutes 14 seconds
219	Amir	35 %	2 minutes 24 seconds
220	Ali	35 %	3 minutes 6 seconds
221	Zakirullah	35 %	3 minutes 28 seconds
222	Jibrail	35 %	3 minutes 59 seconds
223	ALI MEHDI	35 %	4 minutes 1 seconds
224	Haseeb	35 %	4 minutes 12 seconds
225	madiha	35 %	4 minutes 28 seconds
226	arhum	35 %	4 minutes 28 seconds
227	arya	35 %	6 minutes 1 seconds
228	Muhammad Awais	35 %	6 minutes 2 seconds
229	maaz	35 %	6 minutes 19 seconds
230	Muhammad Ahmad	35 %	6 minutes 34 seconds
231	m	35 %	6 minutes 49 seconds
232	Furqan Ahmed	35 %	6 minutes 55 seconds
233	Zakirullah	35 %	7 minutes 8 seconds
234	Muhammad saad ur rehman	35 %	7 minutes 15 seconds
235	Dawood	35 %	7 minutes 24 seconds
236	Nn	35 %	7 minutes 29 seconds
237	rayan bilal	35 %	8 minutes 50 seconds
238	Azwa Mudassar	35 %	9 minutes 36 seconds
239	Naz	35 %	9 minutes 59 seconds
240	Wajiha	35 %	10 minutes 19 seconds
241	Ahmed Nafees	35 %	12 minutes 24 seconds
242	Fatima	35 %	12 minutes 38 seconds
243	Amber Mirza	35 %	13 minutes 8 seconds
244	sunila	35 %	13 minutes 13 seconds
245	Ayesha	35 %	13 minutes 53 seconds
246	Moiz	35 %	14 minutes 59 seconds
247	za	35 %	15 minutes 15 seconds
248	sded	35 %	16 minutes 7 seconds
249	Usman Malik	35 %	17 minutes 9 seconds
250	A.	35 %	17 minutes 33 seconds
251	Eman	35 %	19 minutes 15 seconds
252	YaSiR	35 %	24 minutes 13 seconds
253	Talha	35 %	25 minutes 12 seconds
254	eman	30 %	1 minutes 15 seconds
255	tashfeen	30 %	1 minutes 37 seconds
256	M Miqdam Haider	30 %	2 minutes 34 seconds
257	Abdullah umar	30 %	2 minutes 37 seconds
258	Muhammad Abu Zar	30 %	2 minutes 44 seconds
259	Rukhsh	30 %	2 minutes 46 seconds
260	Abdullah	30 %	2 minutes 52 seconds
261	Aniya	30 %	3 minutes 8 seconds
262	Ss	30 %	4 minutes 4 seconds
263	GHULAM JILANI	30 %	4 minutes 17 seconds
264	fiza	30 %	4 minutes 43 seconds
265	Rameez	30 %	4 minutes 44 seconds
266	Sohaib Hafeez	30 %	5 minutes 4 seconds
267	ahmar	30 %	5 minutes 34 seconds
268	Ubaid	30 %	5 minutes 54 seconds
269	Haseeb	30 %	6 minutes 4 seconds
270	Asma	30 %	6 minutes 15 seconds
271	Ayesha	30 %	6 minutes 23 seconds
272	Who cares	30 %	6 minutes 46 seconds
273	eshal	30 %	7 minutes 6 seconds
274	Syed Farrukh Shah	30 %	7 minutes 12 seconds
275	Arib	30 %	7 minutes 17 seconds
276	muhammad sohaib	30 %	8 minutes 10 seconds
277	Ahmad faiz khan	30 %	8 minutes 11 seconds
278	nemo	30 %	12 minutes 51 seconds
279	Faiq Waleed	30 %	12 minutes 52 seconds
280	Ismail Ismail	30 %	14 minutes 56 seconds
281	y	30 %	16 minutes 32 seconds
282	Muhammad musa	30 %	17 minutes 13 seconds
283	Zeeshanjaat	30 %	18 minutes 43 seconds
284	ume ayesha	30 %	22 minutes 30 seconds
285	Ggfgh	30 %	23 minutes 33 seconds
286	PLSBOOST	25 %	33 seconds
287	M.FAIZAN SAFDAR	25 %	2 minutes 4 seconds
288	M, Jahanzaib Khan	25 %	2 minutes 12 seconds
289	anaya noor	25 %	2 minutes 21 seconds
290	ehsan	25 %	2 minutes 36 seconds
291	H	25 %	2 minutes 38 seconds
292	Dawood	25 %	2 minutes 43 seconds
293	Kashif	25 %	3 minutes 13 seconds
294	ali	25 %	3 minutes 24 seconds
295	H	25 %	3 minutes 29 seconds
296	my	25 %	4 minutes 15 seconds
297	Iqra	25 %	4 minutes 25 seconds
298	hassan	25 %	4 minutes 30 seconds
299	Muhammad Taha Khalid	25 %	4 minutes 40 seconds
300	Dilshad	25 %	4 minutes 55 seconds
301	Saad Khan	25 %	5 minutes 13 seconds
302	Bial	25 %	5 minutes 24 seconds
303	urwah	25 %	5 minutes 31 seconds
304	.	25 %	5 minutes 37 seconds
305	Abdullah	25 %	5 minutes 38 seconds
306	M Adnan	25 %	5 minutes 51 seconds
307	Muhammad Moeen	25 %	6 minutes 33 seconds
308	Mari	25 %	6 minutes 54 seconds
309	Muneeb	25 %	7 minutes 9 seconds
310	malika	25 %	7 minutes 25 seconds
311	Sadia	25 %	9 minutes 19 seconds
312	Adil	25 %	10 minutes 5 seconds
313	adnan ashiq	25 %	10 minutes 7 seconds
314	ridwan	25 %	13 minutes 23 seconds
315	T	25 %	18 minutes 27 seconds
316	sadaf	25 %	27 minutes 34 seconds
317	groots	25 %	29 minutes 39 seconds
318	Aydha	20 %	1 minutes 18 seconds
319	maliksubhan	20 %	1 minutes 30 seconds
320	aftab	20 %	2 minutes 12 seconds
321	R	20 %	2 minutes 23 seconds
322	Noor ul Huda	20 %	2 minutes 40 seconds
323	Ayesha	20 %	2 minutes 44 seconds
324	Muhammad Ali	20 %	3 minutes
325	Hasnain	20 %	3 minutes 2 seconds
326	Meerab Jawwad	20 %	3 minutes 9 seconds
327	Muhammad Musa Shahid	20 %	3 minutes 34 seconds
328	Jamil	20 %	3 minutes 56 seconds
329	Noor	20 %	4 minutes 3 seconds
330	Zmsox	20 %	4 minutes 53 seconds
331	Bilal	20 %	5 minutes 7 seconds
332	Hamza	20 %	6 minutes 19 seconds
333	kk	20 %	7 minutes 5 seconds
334	Mahad	20 %	8 minutes 5 seconds
335	Muhammad Essa Mahar	20 %	8 minutes 49 seconds
336	Sheharyar Khan	20 %	9 minutes 10 seconds
337	Wilayat Ali	20 %	9 minutes 53 seconds
338	Ubaidullah	20 %	10 minutes 58 seconds
339	Abdul Saboor	20 %	11 minutes 36 seconds
340	Daniyal	20 %	26 minutes 24 seconds
341	anaya noor	15 %	1 minutes 19 seconds
342	Annu	15 %	2 minutes 35 seconds
343	Elsa	15 %	2 minutes 57 seconds
344	R	15 %	2 minutes 58 seconds
345	Bilal	15 %	3 minutes 44 seconds
346	Abdullah abbas	15 %	4 minutes 7 seconds
347	Safi ullah	15 %	5 minutes 22 seconds
348	Sateedan	15 %	7 minutes 9 seconds
349	Abid ur Rahman	15 %	8 minutes 34 seconds
350	Fehria Zainab	15 %	13 minutes 11 seconds
351	Talha	10 %	2 minutes 21 seconds
352	Fatima Navaid	5 %	47 seconds
353	MUHAMMAD ABDULLAH	5 %	51 seconds
354	Amina	5 %	2 minutes 2 seconds
355	anaya noor	5 %	3 minutes
356	Name	5 %	8 minutes 3 seconds
357	abdullah umar	0 %	19 seconds
358	ISRAR ALI	0 %	25 seconds
359	azan ali shah	0 %	27 seconds
360	ali	0 %	52 seconds
361	Mahamfaryad	0 %	54 seconds
362	Alisha noor	0 %	1 minutes 9 seconds
363	Umer	0 %	1 minutes 29 seconds

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