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.

347

Created by PLS Academy

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

2 / 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

3 / 20

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

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

4 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

5 / 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?

6 / 20

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 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

9 / 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

10 / 20

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

11 / 20

12 / 20

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

-1

None of these

13 / 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

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

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

2π

π /2

Non of these

17 / 20

18 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

19 / 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})

20 / 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)

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

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